Solve 5/6 * (1/3 * x - 1/5) = 3x + 3 1/3

Question

Solve the equation

x = - \frac{9}{7}

Alternative Form

x = - 1. \dot{2} 8571 \dot{4}

Evaluate

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

Multiply the terms

More Steps

\frac{5}{18} x - \frac{1}{6} = 3 x + 3 \frac{1}{3}

Covert the mixed number to an improper fraction

More Steps

\frac{5}{18} x - \frac{1}{6} = 3 x + \frac{10}{3}

Multiply both sides of the equation by LCM

(\frac{5}{18} x - \frac{1}{6}) \times 18 = (3 x + \frac{10}{3}) \times 18

Calculate

More Steps

5 x - 3 = (3 x + \frac{10}{3}) \times 18

Calculate

More Steps

5 x - 3 = 54 x + 60

Move the expression to the left side

5 x - 3 - 54 x = 60

Move the expression to the right side

5 x - 54 x = 60 + 3

Add and subtract

More Steps

- 49 x = 60 + 3

Add and subtract

- 49 x = 63

Change the signs on both sides of the equation

49 x = - 63

Divide both sides

\frac{49 x}{49} = \frac{- 63}{49}

Divide the numbers

x = \frac{- 63}{49}

Solution

More Steps

x = - \frac{9}{7}

Alternative Form

x = - 1. \dot{2} 8571 \dot{4}

Show Solution

7 x = - 9

Show Solution