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3\left(2x-1\right)=2\left(1-x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6x-3=2\left(1-x\right)
Use the distributive property to multiply 3 by 2x-1.
6x-3=2-2x
Use the distributive property to multiply 2 by 1-x.
6x-3+2x=2
Add 2x to both sides.
8x-3=2
Combine 6x and 2x to get 8x.
8x=2+3
Add 3 to both sides.
8x=5
Add 2 and 3 to get 5.
x=\frac{5}{8}
Divide both sides by 8.