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Solve Equations using the Distributive Property>
Solve Equations using the Distributive Property 3Solve Equations using the Distributive Property 3
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Question 1 of 3
1. Question
Solve for `x``2(x+1)=8`- `x=` (3)
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To solve for `x`, get `x` by itselfDivide both sides of the equation by `2``2(x+1)``divide2` `=` `8``divide2` `2``(x+1)``divide2` `=` `8``divide2` `times2divide2` cancels out `x+1` `=` `4` Finally, subtract `1` from both sides of the equation`x+1` `-1` `=` `4` `-1` `x``+1` `-1` `=` `4` `-1` `1-1` cancels out `x` `=` `3` `x=3` -
Question 2 of 3
2. Question
Solve for `x``2(3-x)=8`- `x=` (-1)
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To solve for `x`, get `x` by itselfDivide both sides of the equation by `2``2(3-x)``divide2` `=` `8``divide2` `2``(3-x)``divide2` `=` `8``divide2` `times2divide2` cancels out `3-x` `=` `4` Next, subtract `3` from both sides of the equation`3-x` `-3` `=` `4` `-3` `3` `-x` `-3` `=` `4` `-3` `3-3` cancels out `-x` `=` `1` Finally, make `x` positive by dividing both sides by `-1``-x``divide(-1)` `=` `1``divide(-1)` `x` `=` `-1` `x=-1` -
Question 3 of 3
3. Question
Solve`(-(9n-6))/4=-3`- `n=` (2)
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.To solve for `n`, it needs to be alone on one side.Start with removing `1/4` by multiplying both sides of the equation by `4`.$$\frac{-(9\color{#00880A}{n}-6)}{4}$$ `=` `-3` $$\frac{-(9\color{#00880A}{n}-6)}{4}\color{#CC0000}{\times4}$$ `=` `-3``times4` `-(9``n` `-6)` `=` `-12` `1/4 times4` cancels out `-9``n` `+6` `=` `-12` Next, move `6` to the other side by subtracting `6` from both sides of the equation.`-9``n` `+6` `=` `-12` `-9``n` `+6` `-6` `=` `-12` `-6` `-9``n` `=` `-18` `6-6` cancels out Finally, remove `-9` by dividing both sides of the equation by `-9`.`-9``n` `=` `-18` `-9``n``divide-9` `=` `-18``divide-9` `n` `=` `2` `-9divide-9` cancels out Check our workTo confirm our answer, substitute `n=2` to the original equation.`(-(9n-6))/4` `=` `-3` `(-(9(2)-6))/4` `=` `-3` Substitute `n=2` `(-(18-6))/4` `=` `-3` `(-12)/4` `=` `-3` `-3` `=` `-3` Since the equation is true, the answer is correct.`n=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