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5x-22=2x+2
We move all terms to the left:
5x-22-(2x+2)=0
We get rid of parentheses
5x-2x-2-22=0
We add all the numbers together, and all the variables
3x-24=0
We move all terms containing x to the left, all other terms to the right
3x=24
x=24/3
x=8
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