Solve 5x-2/3=1/6

$$5x- \frac{ 2 }{ 3 } = \frac{ 1 }{ 6 }$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Add \frac{2}{3} to both sides.

$$5x=\frac{1}{6}+\frac{2}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{2}{3} to fractions with denominator 6.

$$5x=\frac{1}{6}+\frac{4}{6}$$

Since \frac{1}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$5x=\frac{1+4}{6}$$

Add 1 and 4 to get 5.

$$5x=\frac{5}{6}$$

Divide both sides by 5.

$$x=\frac{\frac{5}{6}}{5}$$

Express \frac{\frac{5}{6}}{5} as a single fraction.

$$x=\frac{5}{6\times 5}$$

Cancel out 5 in both numerator and denominator.

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