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

Evaluate

x \times \frac{1}{2} = 3 \frac{2}{3}

Use the commutative property to reorder the terms

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

Covert the mixed number to an improper fraction

More Steps

\frac{1}{2} x = \frac{11}{3}

Separate the equation into 2 possible cases

\frac{1}{2} x = \frac{11}{3} \frac{1}{2} x = - \frac{11}{3}

Solve the equation for x

More Steps

x = \frac{22}{3} \frac{1}{2} x = - \frac{11}{3}

Solve the equation for x

More Steps

x = \frac{22}{3} x = - \frac{22}{3}

Solution

x_{1} = - \frac{22}{3}, x_{2} = \frac{22}{3}

Alternative Form

x_{1} = - 7. \dot{3}, x_{2} = 7. \dot{3}

Solve the equation