Solve for x
x=-6
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12x-3\left(x-2\right)=2x-36
Multiply both sides of the equation by 6, the least common multiple of 2,3.
12x-3x+6=2x-36
Use the distributive property to multiply -3 by x-2.
9x+6=2x-36
Combine 12x and -3x to get 9x.
9x+6-2x=-36
Subtract 2x from both sides.
7x+6=-36
Combine 9x and -2x to get 7x.
7x=-36-6
Subtract 6 from both sides.
7x=-42
Subtract 6 from -36 to get -42.
x=\frac{-42}{7}
Divide both sides by 7.
x=-6
Divide -42 by 7 to get -6.
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