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9x-8=3x+7
We move all terms to the left:
9x-8-(3x+7)=0
We get rid of parentheses
9x-3x-7-8=0
We add all the numbers together, and all the variables
6x-15=0
We move all terms containing x to the left, all other terms to the right
6x=15
x=15/6
x=2+1/2
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