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3x-2x+x-6x=12-6x
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
x+x-6x=12-6x
Combine 3x and -2x to get x.
2x-6x=12-6x
Combine x and x to get 2x.
-4x=12-6x
Combine 2x and -6x to get -4x.
-4x+6x=12
Add 6x to both sides.
2x=12
Combine -4x and 6x to get 2x.
x=\frac{12}{2}
Divide both sides by 2.
x=6
Divide 12 by 2 to get 6.