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3\times 3x-6x=x-8
Multiply both sides of the equation by 6, the least common multiple of 2,6,3.
9x-6x=x-8
Multiply 3 and 3 to get 9.
3x=x-8
Combine 9x and -6x to get 3x.
3x-x=-8
Subtract x from both sides.
2x=-8
Combine 3x and -x to get 2x.
x=\frac{-8}{2}
Divide both sides by 2.
x=-4
Divide -8 by 2 to get -4.