Solve 4x-3(4/5)=8

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

Solve for x

$$x = \frac{13}{5} = 2\frac{3}{5} = 2.6$$

Steps for Solving Linear Equation

Express 3\times \frac{4}{5} as a single fraction.

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

Multiply 3 and 4 to get 12.

$$4x-\frac{12}{5}=8$$

Add \frac{12}{5} to both sides.

$$4x=8+\frac{12}{5}$$

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

$$4x=\frac{40}{5}+\frac{12}{5}$$

Since \frac{40}{5} and \frac{12}{5} have the same denominator, add them by adding their numerators.

$$4x=\frac{40+12}{5}$$

Add 40 and 12 to get 52.

$$4x=\frac{52}{5}$$

Divide both sides by 4.

$$x=\frac{\frac{52}{5}}{4}$$

Express \frac{\frac{52}{5}}{4} as a single fraction.

$$x=\frac{52}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$x=\frac{52}{20}$$

Reduce the fraction \frac{52}{20} to lowest terms by extracting and canceling out 4.

$$x=\frac{13}{5}$$