Solve -3x+28/13=1

$$- 3 x + \frac { 28 } { 13 } = 1$$

Solve for x

$$x=\frac{5}{13}\approx 0.384615385$$

Steps for Solving Linear Equation

Subtract \frac{28}{13} from both sides.

$$-3x=1-\frac{28}{13}$$

Convert 1 to fraction \frac{13}{13}.

$$-3x=\frac{13}{13}-\frac{28}{13}$$

Since \frac{13}{13} and \frac{28}{13} have the same denominator, subtract them by subtracting their numerators.

$$-3x=\frac{13-28}{13}$$

Subtract 28 from 13 to get -15.

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

Divide both sides by -3.

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

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

$$x=\frac{-15}{13\left(-3\right)}$$

Multiply 13 and -3 to get -39.

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

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

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