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5x+3=8x+8
We move all terms to the left:
5x+3-(8x+8)=0
We get rid of parentheses
5x-8x-8+3=0
We add all the numbers together, and all the variables
-3x-5=0
We move all terms containing x to the left, all other terms to the right
-3x=5
x=5/-3
x=-1+2/3
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