Solve 5*x-10/12=1/3

$$5 \cdot \frac { x - 10 } { 12 } = \frac { 1 } { 3 }$$

Solve for x

$$x = \frac{54}{5} = 10\frac{4}{5} = 10.8$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$\frac{x-10}{12}=\frac{\frac{1}{3}}{5}$$

Express \frac{\frac{1}{3}}{5} as a single fraction.

$$\frac{x-10}{12}=\frac{1}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{x-10}{12}=\frac{1}{15}$$

Multiply both sides by 12.

$$x-10=\frac{1}{15}\times 12$$

Multiply \frac{1}{15} and 12 to get \frac{12}{15}.

$$x-10=\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$x-10=\frac{4}{5}$$

Add 10 to both sides.

$$x=\frac{4}{5}+10$$

Convert 10 to fraction \frac{50}{5}.

$$x=\frac{4}{5}+\frac{50}{5}$$

Since \frac{4}{5} and \frac{50}{5} have the same denominator, add them by adding their numerators.

$$x=\frac{4+50}{5}$$

Add 4 and 50 to get 54.

$$x=\frac{54}{5}$$