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-3x-7=2x+8
We move all terms to the left:
-3x-7-(2x+8)=0
We get rid of parentheses
-3x-2x-8-7=0
We add all the numbers together, and all the variables
-5x-15=0
We move all terms containing x to the left, all other terms to the right
-5x=15
x=15/-5
x=-3
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