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5x+5=8x-31
We move all terms to the left:
5x+5-(8x-31)=0
We get rid of parentheses
5x-8x+31+5=0
We add all the numbers together, and all the variables
-3x+36=0
We move all terms containing x to the left, all other terms to the right
-3x=-36
x=-36/-3
x=+12
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