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Equations with Variables on Both Sides 2Equations with Variables on Both Sides 2
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Question 1 of 5
1. Question
Solve`n+5=13-n`- `n=` (4)
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Get `n` alone to the left side and all constants to the right.Start by moving `5` to the other side by subtracting `5` from both sides of the equation.`n` `+5` `=` `13-``n` `n` `+5` `-5` `=` `13-``n` `-5` `n` `=` `8-``n` `5-5` cancels out Next, move `-n` to the other side by adding `n` to both sides of the equation.`n` `=` `8-``n` `n` `+n` `=` `8-``n` `+n` `2``n` `=` `8` `-n+n` cancels out Finally, remove `2` by dividing `2` from both sides.`2``n` `=` `8` `2``n``divide2` `=` `8``divide2` `n` `=` `4` `2-:2` cancels out Check our workTo confirm our answer, substitute `n=4` to the original equation.`n+5` `=` `13-n` `4+5` `=` `13-4` Substitute `n=4` `9` `=` `9` Since the equation is true, the answer is correct.`n=4` -
Question 2 of 5
2. Question
Solve for `x``10x-5=x+4`- `x=` (1)
Hint
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To solve for `x`, get `x` by itselfSubtract `x` from both sides of the equation`10x-5` `-x` `=` `x+4` `-x` `10x-5` `-x` `=` `x``+4` `-x` `x-x` cancels out `9x-5` `=` `4` Next, add `5` to both sides of the equation`9x-5` `+5` `=` `4` `+5` `9x``-5` `+5` `=` `4` `+5` `-5+5` cancels out `9x` `=` `9` Finally, divide both sides of the equation by `9``9x``divide9` `=` `9``divide9` `9``x``divide9` `=` `9``divide9` `times9divide9` cancels out `x` `=` `1` `x=1` -
Question 3 of 5
3. Question
Solve for `x``4x+5=-8x-7`- `x=` (-1)
Hint
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Nice Job!
Incorrect
To solve for `x`, get `x` by itselfAdd `8x` to both sides of the equation`4x+5` `+8x` `=` `-8x-7` `+8x` `4x+5` `+8x` `=` `-8x``-7` `+8x` `-8x+8x` cancels out `12x+5` `=` `-7` Next, subtract `5` from both sides of the equation`12x+5` `-5` `=` `-7` `-5` `12x``+5` `-5` `=` `-7` `-5` `5-5` cancels out `12x` `=` `-12` Finally, divide both sides of the equation by `12``12x``divide12` `=` `-12``divide12` `12``x``divide12` `=` `-12``divide12` `times12divide12` cancels out `x` `=` `-1` `x=-1` -
Question 4 of 5
4. Question
Solve for `p``p-5+3p=-9`- `p=` (-1)
Correct
Keep Going!
Incorrect
To solve for `p`, get `p` by itselfCombine like terms to simplify.`p` `-5``+3p` `=` `-9` `(p+3p)` `-5` `=` `-9` `4p-5` `=` `-9` Add `5` to both sides of the equation`4p-5` `+5` `=` `-9` `+5` `4p``-5` `+5` `=` `-9` `+5` `-5+5` cancels out `4p` `=` `-4` `4p``divide4` `=` `-4``divide4` Divide both sides by `4` `4``p``divide4` `=` `-4``divide4` `times4divide4` cancels out `p` `=` `-1` `p=-1` -
Question 5 of 5
5. Question
Solve for `r``-12=-2r-4r`- `r=` (2)
Correct
Correct!
Incorrect
To solve for `r`, get `r` by itselfCombine like terms to simplify.`-12` `=` `-2r-4r` `-12` `=` `-6r` Get the `r` variable on one side of the equation`-12``divide(-6)` `=` `-6r``divide(-6)` Divide both sides by `-6` `-12``divide(-6)` `=` `-6``r``divide(-6)` `times(-6)divide(-6)` cancels out `2` `=` `r` `r` `=` `2` `r=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
- Multi-Step Equations 1
- Multi-Step 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