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-3x+6=9-5x
Combine 4x and -7x to get -3x.
-3x+6+5x=9
Add 5x to both sides.
2x+6=9
Combine -3x and 5x to get 2x.
2x=9-6
Subtract 6 from both sides.
2x=3
Subtract 6 from 9 to get 3.
x=\frac{3}{2}
Divide both sides by 2.