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3\left(1-2x\right)=2\left(1-4x\right)
Multiply both sides of the equation by 12, the least common multiple of 4,6.
3-6x=2\left(1-4x\right)
Use the distributive property to multiply 3 by 1-2x.
3-6x=2-8x
Use the distributive property to multiply 2 by 1-4x.
3-6x+8x=2
Add 8x to both sides.
3+2x=2
Combine -6x and 8x to get 2x.
2x=2-3
Subtract 3 from both sides.
2x=-1
Subtract 3 from 2 to get -1.
x=\frac{-1}{2}
Divide both sides by 2.
x=-\frac{1}{2}
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.