Solve 2/5+8*x=12.4

$$\frac{ 2 }{ 5 } +8 \times x=12.4$$

Solve for x

$$x=1.5$$

Steps for Solving Linear Equation

Subtract \frac{2}{5} from both sides.

$$8x=12.4-\frac{2}{5}$$

Convert decimal number 12.4 to fraction \frac{124}{10}. Reduce the fraction \frac{124}{10} to lowest terms by extracting and canceling out 2.

$$8x=\frac{62}{5}-\frac{2}{5}$$

Since \frac{62}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$8x=\frac{62-2}{5}$$

Subtract 2 from 62 to get 60.

$$8x=\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$8x=12$$

Divide both sides by 8.

$$x=\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{3}{2}$$