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4x-10=8x+30
We move all terms to the left:
4x-10-(8x+30)=0
We get rid of parentheses
4x-8x-30-10=0
We add all the numbers together, and all the variables
-4x-40=0
We move all terms containing x to the left, all other terms to the right
-4x=40
x=40/-4
x=-10
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