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5x+22=8x-23
We move all terms to the left:
5x+22-(8x-23)=0
We get rid of parentheses
5x-8x+23+22=0
We add all the numbers together, and all the variables
-3x+45=0
We move all terms containing x to the left, all other terms to the right
-3x=-45
x=-45/-3
x=+15
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