Solve 3/8-x=283/10

$$\frac { 3 } { 8 } - x = \frac { 283 } { 10 }$$

Solve for x

$$x = -\frac{1117}{40} = -27\frac{37}{40} = -27.925$$

Steps for Solving Linear Equation

Subtract \frac{3}{8} from both sides.

$$-x=\frac{283}{10}-\frac{3}{8}$$

Least common multiple of 10 and 8 is 40. Convert \frac{283}{10} and \frac{3}{8} to fractions with denominator 40.

$$-x=\frac{1132}{40}-\frac{15}{40}$$

Since \frac{1132}{40} and \frac{15}{40} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{1132-15}{40}$$

Subtract 15 from 1132 to get 1117.

$$-x=\frac{1117}{40}$$

Multiply both sides by -1.

$$x=-\frac{1117}{40}$$