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10x+43=15x+12
We move all terms to the left:
10x+43-(15x+12)=0
We get rid of parentheses
10x-15x-12+43=0
We add all the numbers together, and all the variables
-5x+31=0
We move all terms containing x to the left, all other terms to the right
-5x=-31
x=-31/-5
x=6+1/5
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