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3x-10+5=5x+7
We move all terms to the left:
3x-10+5-(5x+7)=0
We add all the numbers together, and all the variables
3x-(5x+7)-5=0
We get rid of parentheses
3x-5x-7-5=0
We add all the numbers together, and all the variables
-2x-12=0
We move all terms containing x to the left, all other terms to the right
-2x=12
x=12/-2
x=-6
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