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2.1.3 Quiz: Solving Multistep Linear Equations

Question 5 of 10
What is the solution to this equation?
4x + 2(x+6)=36
A. x=4
OB. x=7
OC. x=8
OD. x=5
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1 Answer

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Answer:

The solution to this equation is x=4 (or A)

Explanation:

First, you want to remove the parentheses from the equation and distribute 2 through the parentheses:

4x+2x+12=36

Then you collect like terms:

6x+12=36

Then you move the constant to the right-hand side and change its sign:

6x=36-12

Then you subtract the numbers:

6x=24

Then you divide both sides of the equation by 6, which gives you your solution:

x=4

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