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

Evaluate

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

Simplify

More Steps

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

Multiply both sides of the equation by LCD

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

Simplify the equation

More Steps

- 10 x + 1 = 4 \times 4

Simplify the equation

- 10 x + 1 = 16

Move the constant to the right side

- 10 x = 16 - 1

Subtract the numbers

- 10 x = 15

Change the signs on both sides of the equation

10 x = - 15

Divide both sides

\frac{10 x}{10} = \frac{- 15}{10}

Divide the numbers

x = \frac{- 15}{10}

Solution

More Steps

x = - \frac{3}{2}

Alternative Form

x = - 1.5

Solve the equation