Solve (3)x+1/6=3/8

$$( 3 ) x + \frac { 1 } { 6 } = \frac { 3 } { 8 }$$

Solve for x

$$x=\frac{5}{72}\approx 0.069444444$$

Steps for Solving Linear Equation

Subtract \frac{1}{6} from both sides.

$$3x=\frac{3}{8}-\frac{1}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{1}{6} to fractions with denominator 24.

$$3x=\frac{9}{24}-\frac{4}{24}$$

Since \frac{9}{24} and \frac{4}{24} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{9-4}{24}$$

Subtract 4 from 9 to get 5.

$$3x=\frac{5}{24}$$

Divide both sides by 3.

$$x=\frac{\frac{5}{24}}{3}$$

Express \frac{\frac{5}{24}}{3} as a single fraction.

$$x=\frac{5}{24\times 3}$$

Multiply 24 and 3 to get 72.

$$x=\frac{5}{72}$$