Solve 10/12+x=31/6

$$\frac { 10 } { 12 } + x = \frac { 31 } { 6 }$$

Solve for x

$$x = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}+x=\frac{31}{6}$$

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

$$x=\frac{31}{6}-\frac{5}{6}$$

Since \frac{31}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{31-5}{6}$$

Subtract 5 from 31 to get 26.

$$x=\frac{26}{6}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{13}{3}$$