Solve for c -2/3=-1/5c-2/3

$- \frac{2}{3} = - \frac{1}{5} c - \frac{2}{3}$

Rewrite the equation as $- \frac{1}{5} c - \frac{2}{3} = - \frac{2}{3}$ .

$- \frac{1}{5} c - \frac{2}{3} = - \frac{2}{3}$

Combine $c$ and $\frac{1}{5}$ .

$- \frac{c}{5} - \frac{2}{3} = - \frac{2}{3}$

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

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

$- \frac{c}{5} = - \frac{2}{3} + \frac{2}{3}$

Combine the numerators over the common denominator.

$- \frac{c}{5} = \frac{- 2 + 2}{3}$

Add $- 2$ and $2$ .

$- \frac{c}{5} = \frac{0}{3}$

Divide $0$ by $3$ .

$- \frac{c}{5} = 0$

Set the numerator equal to zero.

$c = 0$