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5x+9=6x-15
We move all terms to the left:
5x+9-(6x-15)=0
We get rid of parentheses
5x-6x+15+9=0
We add all the numbers together, and all the variables
-1x+24=0
We move all terms containing x to the left, all other terms to the right
-x=-24
x=-24/-1
x=+24
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