Solve 3*13/15-2x=3

$$3 \times \frac{ 13 }{ 15 } -2x=3$$

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Express 3\times \frac{13}{15} as a single fraction.

$$\frac{3\times 13}{15}-2x=3$$

Multiply 3 and 13 to get 39.

$$\frac{39}{15}-2x=3$$

Reduce the fraction \frac{39}{15} to lowest terms by extracting and canceling out 3.

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

Subtract \frac{13}{5} from both sides.

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

Convert 3 to fraction \frac{15}{5}.

$$-2x=\frac{15}{5}-\frac{13}{5}$$

Since \frac{15}{5} and \frac{13}{5} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{15-13}{5}$$

Subtract 13 from 15 to get 2.

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

Divide both sides by -2.

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

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

$$x=\frac{2}{5\left(-2\right)}$$

Multiply 5 and -2 to get -10.

$$x=\frac{2}{-10}$$

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

$$x=-\frac{1}{5}$$