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3x+23=5x-22
We move all terms to the left:
3x+23-(5x-22)=0
We get rid of parentheses
3x-5x+22+23=0
We add all the numbers together, and all the variables
-2x+45=0
We move all terms containing x to the left, all other terms to the right
-2x=-45
x=-45/-2
x=22+1/2
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