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Given the equation 5(x+2) = 5x+10 solve for the variable. Explain each step and justify your process.

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Answer:

x = 9

Step-by-step explanation:

5(x+2) = 5x+1

Our main goal is to get our variables on one side and our numbers on the other. Then we can find solve the variable. If we follow PEMDAS (parenthesis, exponents, multiplication, division, addition, and subtraction) we can follow the steps to solve it correctly.

First, we examine our parenthesis, but since we can't do anything, we move on to multiplication, since no exponents are present.

5(x+2) = 5x+10

5x+10 = 5x+1

Now we solve our addition, we move our numbers on one side and our variables on the other. To do this, we instead subtract our numbers from each other, since they are all positive.

10-1 = 9

5x+9 = 5x

5x-5x = x

9 = x

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