Solve for x
x=\frac{2}{3}\approx 0.666666667
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x-2=4\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 x-1, the least common multiple of x-1,1-x.
x-2=4x-4
Use the distributive property to multiply 4 by x-1.
x-2-4x=-4
Subtract 4x from both sides.
-3x-2=-4
Combine x and -4x to get -3x.
-3x=-4+2
Add 2 to both sides.
-3x=-2
Add -4 and 2 to get -2.
x=\frac{-2}{-3}
Divide both sides by -3.
x=\frac{2}{3}
Fraction \frac{-2}{-3} can be simplified to \frac{2}{3} by removing the negative sign from both the numerator and the denominator.
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