Solve -5/6 - x = 7/12 (-1/3)

Question

Solve the equation

x = - \frac{23}{36}

Alternative Form

x = - 0.63 \dot{8}

Evaluate

- \frac{5}{6} - x = \frac{7}{12} (- \frac{1}{3})

Multiply the numbers

More Steps

Evaluate

\frac{7}{12} (- \frac{1}{3})

Multiplying or dividing an odd number of negative terms equals a negative

- \frac{7}{12} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

- \frac{7}{12 \times 3}

Multiply the numbers

- \frac{7}{36}

- \frac{5}{6} - x = - \frac{7}{36}

Move the constant to the right-hand side and change its sign

- x = - \frac{7}{36} + \frac{5}{6}

Add the numbers

More Steps

Evaluate

- \frac{7}{36} + \frac{5}{6}

Reduce fractions to a common denominator

- \frac{7}{36} + \frac{5 \times 6}{6 \times 6}

Multiply the numbers

- \frac{7}{36} + \frac{5 \times 6}{36}

Write all numerators above the common denominator

\frac{- 7 + 5 \times 6}{36}

Multiply the numbers

\frac{- 7 + 30}{36}

Add the numbers

\frac{23}{36}

- x = \frac{23}{36}

Solution

x = - \frac{23}{36}

Alternative Form

x = - 0.63 \dot{8}

Show Solution

36 x = - 23

Evaluate

- \frac{5}{6} - x = \frac{7}{12} (- \frac{1}{3})

Evaluate

More Steps

Evaluate

\frac{7}{12} (- \frac{1}{3})

Multiplying or dividing an odd number of negative terms equals a negative

- \frac{7}{12} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

- \frac{7}{12 \times 3}

Multiply the numbers

- \frac{7}{36}

- \frac{5}{6} - x = - \frac{7}{36}

Multiply both sides of the equation by LCD

- 30 - 36 x = - 7

Move the constant to the right side

- 36 x = 23

Solution

36 x = - 23

Show Solution