Solve for x
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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3x-2x=3\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-1\right), the least common multiple of x-1,3x-3.
x=3\left(x-1\right)
Combine 3x and -2x to get x.
x=3x-3
Use the distributive property to multiply 3 by x-1.
x-3x=-3
Subtract 3x from both sides.
-2x=-3
Combine x and -3x to get -2x.
x=\frac{-3}{-2}
Divide both sides by -2.
x=\frac{3}{2}
Fraction \frac{-3}{-2} can be simplified to \frac{3}{2} by removing the negative sign from both the numerator and the denominator.
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