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10x+5=7x-7
We move all terms to the left:
10x+5-(7x-7)=0
We get rid of parentheses
10x-7x+7+5=0
We add all the numbers together, and all the variables
3x+12=0
We move all terms containing x to the left, all other terms to the right
3x=-12
x=-12/3
x=-4
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