Solve for x
x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667
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2x=3+2\left(x-1\right)\left(-2\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right), the least common multiple of x-1,2x-2.
2x=3-4\left(x-1\right)
Multiply 2 and -2 to get -4.
2x=3-4x+4
Use the distributive property to multiply -4 by x-1.
2x=7-4x
Add 3 and 4 to get 7.
2x+4x=7
Add 4x to both sides.
6x=7
Combine 2x and 4x to get 6x.
x=\frac{7}{6}
Divide both sides by 6.
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