Solve 10/11-x=2/3

$$\frac{ 10 }{ 11 } -x = \frac{ 2 }{ 3 }$$

Solve for x

$$x=\frac{8}{33}\approx 0.242424242$$

Steps for Solving Linear Equation

Subtract \frac{10}{11} from both sides.

$$-x=\frac{2}{3}-\frac{10}{11}$$

Least common multiple of 3 and 11 is 33. Convert \frac{2}{3} and \frac{10}{11} to fractions with denominator 33.

$$-x=\frac{22}{33}-\frac{30}{33}$$

Since \frac{22}{33} and \frac{30}{33} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{22-30}{33}$$

Subtract 30 from 22 to get -8.

$$-x=-\frac{8}{33}$$

Multiply both sides by -1.

$$x=\frac{8}{33}$$