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5x-8=3x+10=4x+1
We move all terms to the left:
5x-8-(3x+10)=0
We get rid of parentheses
5x-3x-10-8=0
We add all the numbers together, and all the variables
2x-18=0
We move all terms containing x to the left, all other terms to the right
2x=18
x=18/2
x=9
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