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3x-4=5x+15
We move all terms to the left:
3x-4-(5x+15)=0
We get rid of parentheses
3x-5x-15-4=0
We add all the numbers together, and all the variables
-2x-19=0
We move all terms containing x to the left, all other terms to the right
-2x=19
x=19/-2
x=-9+1/2
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