Solve for x
x=11
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2x-2+3\left(x+2\right)=6\left(x-3\right)+x
Use the distributive property to multiply 2 by x-1.
2x-2+3x+6=6\left(x-3\right)+x
Use the distributive property to multiply 3 by x+2.
5x-2+6=6\left(x-3\right)+x
Combine 2x and 3x to get 5x.
5x+4=6\left(x-3\right)+x
Add -2 and 6 to get 4.
5x+4=6x-18+x
Use the distributive property to multiply 6 by x-3.
5x+4=7x-18
Combine 6x and x to get 7x.
5x+4-7x=-18
Subtract 7x from both sides.
-2x+4=-18
Combine 5x and -7x to get -2x.
-2x=-18-4
Subtract 4 from both sides.
-2x=-22
Subtract 4 from -18 to get -22.
x=\frac{-22}{-2}
Divide both sides by -2.
x=11
Divide -22 by -2 to get 11.
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