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4x+23=13x-5
We move all terms to the left:
4x+23-(13x-5)=0
We get rid of parentheses
4x-13x+5+23=0
We add all the numbers together, and all the variables
-9x+28=0
We move all terms containing x to the left, all other terms to the right
-9x=-28
x=-28/-9
x=3+1/9
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