Solve 0=2/3x+1/3

$$0 = \frac { 2 } { 3 } x + \frac { 1 } { 3 }$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{2}{3}x+\frac{1}{3}=0$$

Subtract \frac{1}{3} from both sides. Anything subtracted from zero gives its negation.

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

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

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

Multiply -\frac{1}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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