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5x-6=2x+60
We move all terms to the left:
5x-6-(2x+60)=0
We get rid of parentheses
5x-2x-60-6=0
We add all the numbers together, and all the variables
3x-66=0
We move all terms containing x to the left, all other terms to the right
3x=66
x=66/3
x=22
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