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