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2x-9=-4x+6
We move all terms to the left:
2x-9-(-4x+6)=0
We get rid of parentheses
2x+4x-6-9=0
We add all the numbers together, and all the variables
6x-15=0
We move all terms containing x to the left, all other terms to the right
6x=15
x=15/6
x=2+1/2
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