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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Add \frac{1}{3} to both sides.

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

Since \frac{1}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

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

Add 1 and 1 to get 2.

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

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$x=\frac{2}{3}\left(-\frac{3}{2}\right)$$

Multiply \frac{2}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\left(-3\right)}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

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

Divide -3 by 3 to get -1.

$$x=-1$$