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