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-5x-3=4x+15
We move all terms to the left:
-5x-3-(4x+15)=0
We get rid of parentheses
-5x-4x-15-3=0
We add all the numbers together, and all the variables
-9x-18=0
We move all terms containing x to the left, all other terms to the right
-9x=18
x=18/-9
x=-2
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