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Equations with Variables on Both Sides 1Equations with Variables on Both Sides 1
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Question 1 of 5
1. Question
Solve`3a+4=2a+10` `a=` (6)
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Get `a` alone to the left side and all constants to the right.Start by moving `4` to the other side by subtracting `4` from both sides of the equation.`3``a` `+4` `=` `2``a` `+10` `3``a` `+4` `4` `=` `2``a` `+10` `4` `3``a` `=` `2``a` `+6` `44` cancels out Next, move `2a` to the other side by subtracting `2a` from both sides of the equation.`3``a` `=` `2``a` `+6` `3``a` `2a` `=` `2``a` `+6` `2a` `a` `=` `6` `2a2a` cancels out Check our workTo confirm our answer, substitute `a=6` to the original equation.`3a+4` `=` `2a+10` `3(6)+4` `=` `2(6)+10` Substitute `a=6` `18+4` `=` `12+10` `22` `=` `22` Since the equation is true, the answer is correct.`a=6` 
Question 2 of 5
2. Question
Solve`4m3=24+m` `m=` (9)
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Get `m` alone to the left side and all constants to the right.Start by moving `3` to the other side by adding `3` to both sides of the equation.`4``m` `3` `=` `24+` `m` `4``m` `3` `+3` `=` `24+` `m` `+3` `4``m` `=` `27+` `m` `3+3` cancels out Next, move `m` to the other side by subtracting `m` from both sides of the equation.`4``m` `=` `27+` `m` `4``m` `m` `=` `27+` `m` `m` `3``m` `=` `27` `mm` cancels out Finally, remove `3` by dividing `3` from both sides.`3``m` `=` `27` `3``m``:3` `=` `27``:3` `m` `=` `9` `3:3` cancels out Check our workTo confirm our answer, substitute `m=9` to the original equation.`4m3` `=` `24+m` `4(9)3` `=` `24+9` Substitute `m=9` `363` `=` `33` `33` `=` `33` Since the equation is true, the answer is correct.`m=9` 
Question 3 of 5
3. Question
Solve`8y2=6y+28` `y=` (15)
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Get `y` alone to the left side and all constants to the right.Start by moving `2` to the other side by adding `2` to both sides of the equation.`8``y` `2` `=` `6``y` `+28` `8``y` `2` `+2` `=` `6``y` `+28` `+2` `8``y` `=` `6``y` `+30` `2+2` cancels out Next, move `6y` to the other side by subtracting `6y` from both sides of the equation.`8``y` `=` `6``y` `+30` `8``y` `6y` `=` `6``y` `+30` `6y` `2``y` `=` `30` `6y6y` cancels out Finally, remove `2` by dividing `2` from both sides.`2``y` `=` `30` `2``y``divide2` `=` `30``divide2` `y` `=` `15` `2:2` cancels out Check our workTo confirm our answer, substitute `y=15` to the original equation.`8y2` `=` `6y+28` `8(15)2` `=` `6(15)+28` Substitute `y=15` `1202` `=` `90+28` `118` `=` `118` Since the equation is true, the answer is correct.`y=15` 
Question 4 of 5
4. Question
Solve for `x``3x+2=2x+9` `x=` (7)
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To solve for `x`, get `x` by itselfSubtract `2x` from both sides of the equation`3x+2` `2x` `=` `2x+9` `2x` `3x+2` `2x` `=` `2x``+9` `2x` `2x2x` cancels out `x+2` `=` `9` Finally, subtract `2` from both sides of the equation`x+2` `2` `=` `9` `2` `x``+2` `2` `=` `9` `2` `22` cancels out `x` `=` `7` `x=7` 
Question 5 of 5
5. Question
Solve for `x``3x+5=2x+7` `x=` (2)
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To solve for `x`, get `x` by itselfSubtract `2x` from both sides of the equation`3x+5` `2x` `=` `2x+7` `2x` `3x+5` `2x` `=` `2x``+7` `2x` `2x2x` cancels out `x+5` `=` `7` Finally, subtract `5` from both sides of the equation`x+5` `5` `=` `7` `5` `x``+5` `5` `=` `7` `5` `55` cancels out `x` `=` `2` `x=2`
Quizzes
 One Step Equations – Add and Subtract 1
 One Step Equations – Add and Subtract 2
 One Step Equations – Add and Subtract 3
 One Step Equations – Add and Subtract 4
 One Step Equations – Multiply and Divide 1
 One Step Equations – Multiply and Divide 2
 One Step Equations – Multiply and Divide 3
 One Step Equations – Multiply and Divide 4
 Two Step Equations 1
 Two Step Equations 2
 Two Step Equations 3
 Two Step Equations 4
 MultiStep Equations 1
 MultiStep Equations 2
 Solve Equations using the Distributive Property 1
 Solve Equations using the Distributive Property 2
 Solve Equations using the Distributive Property 3
 Equations with Variables on Both Sides 1
 Equations with Variables on Both Sides 2
 Equations with Variables on Both Sides 3
 Equations with Variables on Both Sides (Fractions) 1
 Equations with Variables on Both Sides (Fractions) 2
 Solve Equations – Variables on Both Sides (Distributive Property) 1
 Solve Equations – Variables on Both Sides (Distributive Property) 2
 Solve Equations – Variables on Both Sides (Distributive Property) 3
 Solve Equations – Variables on Both Sides (Distributive Property) 4
 Writing Equations 1
 Writing Equations 2
 Writing Equations 3
 Writing Equations 4
 Equation Word Problems (Age) 1
 Equation Word Problems (Money) 1
 Equation Word Problems (Harder) 1
 Equation Problems with Substitution 1
 Equation Problems (Geometry) 1
 Equation Problems (Geometry) 2
 Equation Problems (Perimeter)
 Equation Problems (Area)
 Solve for a Variable or Formula 1
 Solve for a Variable or Formula 2
 Solve for a Variable or Formula 3