SOLUTION: .5(2-x) = 1.5x+7 please show your work.....thanks

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Question 465758: .5(2-x) = 1.5x+7
please show your work.....thanks
Answer by gwendolyn(128)   (Show Source): You can put this solution on YOUR website!
First, we have to distribute the .5:
.5(2-x)=1.5x+7
1-.5x=1.5x+7
Then, we can add .5x to both sides of the equation.
1-.5x+.5x=1.5x+7+.5x
1=2x+7
Next, we subtract 7 from both sides of the equation.
1-7=2x+7-7
-6=2x
Finally, we divide both sides of the equation by 2.
-6/2=2x/2
-3=x
So, x is equal to -3.
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