Solve 1/3-2b=3

$$\frac { 1 } { 3 } - 2 b = 3$$

Solve for b

$$b = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Subtract \frac{1}{3} from both sides.

$$-2b=3-\frac{1}{3}$$

Convert 3 to fraction \frac{9}{3}.

$$-2b=\frac{9}{3}-\frac{1}{3}$$

Since \frac{9}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$-2b=\frac{9-1}{3}$$

Subtract 1 from 9 to get 8.

$$-2b=\frac{8}{3}$$

Divide both sides by -2.

$$b=\frac{\frac{8}{3}}{-2}$$

Express \frac{\frac{8}{3}}{-2} as a single fraction.

$$b=\frac{8}{3\left(-2\right)}$$

Multiply 3 and -2 to get -6.

$$b=\frac{8}{-6}$$

Reduce the fraction \frac{8}{-6} to lowest terms by extracting and canceling out 2.

$$b=-\frac{4}{3}$$