Solve for x
x=1
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6-2\left(x+2\right)=3\left(x-1\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
6-2x-4=3\left(x-1\right)
Use the distributive property to multiply -2 by x+2.
2-2x=3\left(x-1\right)
Subtract 4 from 6 to get 2.
2-2x=3x-3
Use the distributive property to multiply 3 by x-1.
2-2x-3x=-3
Subtract 3x from both sides.
2-5x=-3
Combine -2x and -3x to get -5x.
-5x=-3-2
Subtract 2 from both sides.
-5x=-5
Subtract 2 from -3 to get -5.
x=\frac{-5}{-5}
Divide both sides by -5.
x=1
Divide -5 by -5 to get 1.
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