Solve 1/3x-4/5=8

$$\frac { 1 } { 3 } x - \frac { 4 } { 5 } = 8$$

Solve for x

$$x = \frac{132}{5} = 26\frac{2}{5} = 26.4$$

Steps for Solving Linear Equation

Add \frac{4}{5} to both sides.

$$\frac{1}{3}x=8+\frac{4}{5}$$

Convert 8 to fraction \frac{40}{5}.

$$\frac{1}{3}x=\frac{40}{5}+\frac{4}{5}$$

Since \frac{40}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{1}{3}x=\frac{40+4}{5}$$

Add 40 and 4 to get 44.

$$\frac{1}{3}x=\frac{44}{5}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=\frac{44}{5}\times 3$$

Express \frac{44}{5}\times 3 as a single fraction.

$$x=\frac{44\times 3}{5}$$

Multiply 44 and 3 to get 132.

$$x=\frac{132}{5}$$