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3\left(3x-1\right)+6=6x-2\left(2-x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9x-3+6=6x-2\left(2-x\right)
Use the distributive property to multiply 3 by 3x-1.
9x+3=6x-2\left(2-x\right)
Add -3 and 6 to get 3.
9x+3=6x-4+2x
Use the distributive property to multiply -2 by 2-x.
9x+3=8x-4
Combine 6x and 2x to get 8x.
9x+3-8x=-4
Subtract 8x from both sides.
x+3=-4
Combine 9x and -8x to get x.
x=-4-3
Subtract 3 from both sides.
x=-7
Subtract 3 from -4 to get -7.