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10x+8=-5x+53
We move all terms to the left:
10x+8-(-5x+53)=0
We get rid of parentheses
10x+5x-53+8=0
We add all the numbers together, and all the variables
15x-45=0
We move all terms containing x to the left, all other terms to the right
15x=45
x=45/15
x=3
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