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8x+58=3x+89
We move all terms to the left:
8x+58-(3x+89)=0
We get rid of parentheses
8x-3x-89+58=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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