Solve x+5/6=2x-5/6

$$x + \frac { 5 } { 6 } = 2 x - \frac { 5 } { 6 }$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$x+\frac{5}{6}-2x=-\frac{5}{6}$$

Combine x and -2x to get -x.

$$-x+\frac{5}{6}=-\frac{5}{6}$$

Subtract \frac{5}{6} from both sides.

$$-x=-\frac{5}{6}-\frac{5}{6}$$

Since -\frac{5}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{-5-5}{6}$$

Subtract 5 from -5 to get -10.

$$-x=\frac{-10}{6}$$

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

$$-x=-\frac{5}{3}$$

Multiply both sides by -1.

$$x=\frac{5}{3}$$