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4x-8=-5x=1
We move all terms to the left:
4x-8-(-5x)=0
We get rid of parentheses
4x+5x-8=0
We add all the numbers together, and all the variables
9x-8=0
We move all terms containing x to the left, all other terms to the right
9x=8
x=8/9
x=8/9
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