Solve (12/13+x)-5/13=9/13

$$( \frac { 12 } { 13 } + x ) - \frac { 5 } { 13 } = \frac { 9 } { 13 }$$

Solve for x

$$x=\frac{2}{13}\approx 0.153846154$$

Steps for Solving Linear Equation

Since \frac{12}{13} and \frac{5}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{13}+x=\frac{9}{13}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{13}+x=\frac{9}{13}$$

Subtract \frac{7}{13} from both sides.

$$x=\frac{9}{13}-\frac{7}{13}$$

Since \frac{9}{13} and \frac{7}{13} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{9-7}{13}$$

Subtract 7 from 9 to get 2.

$$x=\frac{2}{13}$$