Solve |2x / 3 - 1| = 1/6

Evaluate

(2 \times \frac{x}{3}) - 1 = \frac{1}{6}

Multiply the terms

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

Separate the equation into 2 possible cases

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

Solve the equation for x

More Steps

x = \frac{7}{4} \frac{2 x}{3} - 1 = - \frac{1}{6}

Solve the equation for x

More Steps

x = \frac{7}{4} x = \frac{5}{4}

Solution

x_{1} = \frac{5}{4}, x_{2} = \frac{7}{4}

Alternative Form

x_{1} = 1.25, x_{2} = 1.75

Solve the equation