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6-4x+x=-2x+5x
Add -6 and 12 to get 6.
6-3x=-2x+5x
Combine -4x and x to get -3x.
6-3x=3x
Combine -2x and 5x to get 3x.
6-3x-3x=0
Subtract 3x from both sides.
6-6x=0
Combine -3x and -3x to get -6x.
-6x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{-6}
Divide both sides by -6.
x=1
Divide -6 by -6 to get 1.