Solve (3x-2)/6-5=(x-1)/4

Evaluate

\frac{3 x - 2}{6} - 5 = \frac{x - 1}{4}

Multiply both sides of the equation by LCD

(\frac{3 x - 2}{6} - 5) \times 12 = \frac{x - 1}{4} \times 12

Simplify the equation

More Steps

6 x - 64 = \frac{x - 1}{4} \times 12

Simplify the equation

More Steps

6 x - 64 = 3 x - 3

Move the expression to the left side

6 x - 64 - 3 x = - 3

Move the expression to the right side

6 x - 3 x = - 3 + 64

Add and subtract

More Steps

3 x = - 3 + 64

Add and subtract

3 x = 61

Divide both sides

\frac{3 x}{3} = \frac{61}{3}

Solution

x = \frac{61}{3}

Alternative Form

x = 20. \dot{3}

Solve the equation