Solve (2x-4)*5=8

$$(2x-4) \times 5=8$$

Solve for x

$$x = \frac{14}{5} = 2\frac{4}{5} = 2.8$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$2x-4=\frac{8}{5}$$

Add 4 to both sides.

$$2x=\frac{8}{5}+4$$

Convert 4 to fraction \frac{20}{5}.

$$2x=\frac{8}{5}+\frac{20}{5}$$

Since \frac{8}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.

$$2x=\frac{8+20}{5}$$

Add 8 and 20 to get 28.

$$2x=\frac{28}{5}$$

Divide both sides by 2.

$$x=\frac{\frac{28}{5}}{2}$$

Express \frac{\frac{28}{5}}{2} as a single fraction.

$$x=\frac{28}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$x=\frac{28}{10}$$

Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{14}{5}$$