Solve 2/3 * (1/3 * x - 1/2) = 4x + 2 1/2

Question

Solve the equation

x = - \frac{3}{4}

Alternative Form

x = - 0.75

Evaluate

\frac{2}{3} (\frac{1}{3} x - \frac{1}{2}) = 4 x + 2 \frac{1}{2}

Multiply the terms

More Steps

\frac{2}{9} x - \frac{1}{3} = 4 x + 2 \frac{1}{2}

Covert the mixed number to an improper fraction

More Steps

\frac{2}{9} x - \frac{1}{3} = 4 x + \frac{5}{2}

Multiply both sides of the equation by LCM

(\frac{2}{9} x - \frac{1}{3}) \times 18 = (4 x + \frac{5}{2}) \times 18

Calculate

More Steps

4 x - 6 = (4 x + \frac{5}{2}) \times 18

Calculate

More Steps

4 x - 6 = 72 x + 45

Move the expression to the left side

4 x - 6 - 72 x = 45

Move the expression to the right side

4 x - 72 x = 45 + 6

Add and subtract

More Steps

- 68 x = 45 + 6

Add and subtract

- 68 x = 51

Change the signs on both sides of the equation

68 x = - 51

Divide both sides

\frac{68 x}{68} = \frac{- 51}{68}

Divide the numbers

x = \frac{- 51}{68}

Solution

More Steps

x = - \frac{3}{4}

Alternative Form

x = - 0.75

Show Solution

4 x = - 3

Show Solution