Solve 1/6+3x=1/3

$$\frac { 1 } { 6 } + 3 x = \frac { 1 } { 3 }$$

Solve for x

$$x=\frac{1}{18}\approx 0.055555556$$

Steps for Solving Linear Equation

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

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

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

$$3x=\frac{2}{6}-\frac{1}{6}$$

Since \frac{2}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{2-1}{6}$$

Subtract 1 from 2 to get 1.

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

Divide both sides by 3.

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

Express \frac{\frac{1}{6}}{3} as a single fraction.

$$x=\frac{1}{6\times 3}$$

Multiply 6 and 3 to get 18.

$$x=\frac{1}{18}$$