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2x-9-6x+7=10-5x
Combine 3x and -x to get 2x.
-4x-9+7=10-5x
Combine 2x and -6x to get -4x.
-4x-2=10-5x
Add -9 and 7 to get -2.
-4x-2+5x=10
Add 5x to both sides.
x-2=10
Combine -4x and 5x to get x.
x=10+2
Add 2 to both sides.
x=12
Add 10 and 2 to get 12.