Solve 1/2x-1/3=4x-6/7

Evaluate

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

Multiply both sides of the equation by LCM

(\frac{1}{2} x - \frac{1}{3}) \times 42 = (4 x - \frac{6}{7}) \times 42

Calculate

More Steps

21 x - 14 = (4 x - \frac{6}{7}) \times 42

Calculate

More Steps

21 x - 14 = 168 x - 36

Move the expression to the left side

21 x - 14 - 168 x = - 36

Move the expression to the right side

21 x - 168 x = - 36 + 14

Add and subtract

More Steps

- 147 x = - 36 + 14

Add and subtract

- 147 x = - 22

Change the signs on both sides of the equation

147 x = 22

Divide both sides

\frac{147 x}{147} = \frac{22}{147}

Solution

x = \frac{22}{147}

Alternative Form

x \approx 0.14966

Solve the equation