Solve for x
x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667
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2\left(-x+2\right)=x-4
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-4\right), the least common multiple of x-4,2.
2\left(-x\right)+4=x-4
Use the distributive property to multiply 2 by -x+2.
2\left(-x\right)+4-x=-4
Subtract x from both sides.
2\left(-x\right)-x=-4-4
Subtract 4 from both sides.
2\left(-x\right)-x=-8
Subtract 4 from -4 to get -8.
-2x-x=-8
Multiply 2 and -1 to get -2.
-3x=-8
Combine -2x and -x to get -3x.
x=\frac{-8}{-3}
Divide both sides by -3.
x=\frac{8}{3}
Fraction \frac{-8}{-3} can be simplified to \frac{8}{3} by removing the negative sign from both the numerator and the denominator.
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