SOLUTION: I am trying to solve this equation. 5(3 - 2x) = 7 - 2(1 - 4x) I know I am suppose to distribute through and I did that on the left hand side and got 15-10x but I am not sure how

Question 710886: I am trying to solve this equation.
5(3 - 2x) = 7 - 2(1 - 4x)
I know I am suppose to distribute through and I did that on the left hand side and got 15-10x but I am not sure how to do the right side.
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!

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When doing something like this, remember the "Order of Precedence" of operations. Multiplication comes before addition. So doing left side first, you multiply through (as you said) and get:

For the right side, since multiplication has a higher order of precedence than addition, you have to multiply through by -2 first, leaving the 7 alone (watch your signs):

Arrange the x terms on the left side of the equation, and the other terms on the right:

Combine the like terms:

Solve for x:

Check it:

The equation holds true, so you know you got the right answer.
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Good Luck,
tutor_paul@yahoo.com

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