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12x-3\times 3x=-6x+2
Multiply both sides of the equation by 6, the least common multiple of 2,3.
12x-9x=-6x+2
Multiply -3 and 3 to get -9.
3x=-6x+2
Combine 12x and -9x to get 3x.
3x+6x=2
Add 6x to both sides.
9x=2
Combine 3x and 6x to get 9x.
x=\frac{2}{9}
Divide both sides by 9.