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2x-3x+6=4x-9
We move all terms to the left:
2x-3x+6-(4x-9)=0
We add all the numbers together, and all the variables
-1x-(4x-9)+6=0
We get rid of parentheses
-1x-4x+9+6=0
We add all the numbers together, and all the variables
-5x+15=0
We move all terms containing x to the left, all other terms to the right
-5x=-15
x=-15/-5
x=+3
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