Solve for x 1/3x-2/3=-18

$\frac{1}{3} x - \frac{2}{3} = - 18$

Combine $\frac{1}{3}$ and $x$ .

$\frac{x}{3} - \frac{2}{3} = - 18$

Move all terms not containing $x$ to the right side of the equation.

Add $\frac{2}{3}$ to both sides of the equation.

$\frac{x}{3} = - 18 + \frac{2}{3}$

To write $- 18$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{x}{3} = - 18 \cdot \frac{3}{3} + \frac{2}{3}$

Combine $- 18$ and $\frac{3}{3}$ .

$\frac{x}{3} = \frac{- 18 \cdot 3}{3} + \frac{2}{3}$

Combine the numerators over the common denominator.

$\frac{x}{3} = \frac{- 18 \cdot 3 + 2}{3}$

Simplify the numerator.

Multiply $- 18$ by $3$ .

$\frac{x}{3} = \frac{- 54 + 2}{3}$

Add $- 54$ and $2$ .

$\frac{x}{3} = \frac{- 52}{3}$

Move the negative in front of the fraction.

$\frac{x}{3} = - \frac{52}{3}$

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$x = - 52$