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3x+7=-8+5x
We move all terms to the left:
3x+7-(-8+5x)=0
We add all the numbers together, and all the variables
3x-(5x-8)+7=0
We get rid of parentheses
3x-5x+8+7=0
We add all the numbers together, and all the variables
-2x+15=0
We move all terms containing x to the left, all other terms to the right
-2x=-15
x=-15/-2
x=7+1/2
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