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5x+2=8x-22
We move all terms to the left:
5x+2-(8x-22)=0
We get rid of parentheses
5x-8x+22+2=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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