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-5x-3=2x+4
We move all terms to the left:
-5x-3-(2x+4)=0
We get rid of parentheses
-5x-2x-4-3=0
We add all the numbers together, and all the variables
-7x-7=0
We move all terms containing x to the left, all other terms to the right
-7x=7
x=7/-7
x=-1
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