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3\left(1-x\right)=2\left(4x-1\right)-6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3-3x=2\left(4x-1\right)-6
Use the distributive property to multiply 3 by 1-x.
3-3x=8x-2-6
Use the distributive property to multiply 2 by 4x-1.
3-3x=8x-8
Subtract 6 from -2 to get -8.
3-3x-8x=-8
Subtract 8x from both sides.
3-11x=-8
Combine -3x and -8x to get -11x.
-11x=-8-3
Subtract 3 from both sides.
-11x=-11
Subtract 3 from -8 to get -11.
x=\frac{-11}{-11}
Divide both sides by -11.
x=1
Divide -11 by -11 to get 1.