Solve 3/10-x=4/5

$$\frac { 3 } { 10 } - x = \frac { 4 } { 5 }$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Subtract \frac{3}{10} from both sides.

$$-x=\frac{4}{5}-\frac{3}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{4}{5} and \frac{3}{10} to fractions with denominator 10.

$$-x=\frac{8}{10}-\frac{3}{10}$$

Since \frac{8}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{8-3}{10}$$

Subtract 3 from 8 to get 5.

$$-x=\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-x=\frac{1}{2}$$

Multiply both sides by -1.

$$x=-\frac{1}{2}$$