Solve 2/3w+4/6=2/3+4/3w

$$\frac { 2 } { 3 } w + \frac { 4 } { 6 } = \frac { 2 } { 3 } + \frac { 4 } { 3 } w$$

Solve for w

$$w=0$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}w+\frac{2}{3}=\frac{2}{3}+\frac{4}{3}w$$

Subtract \frac{4}{3}w from both sides.

$$\frac{2}{3}w+\frac{2}{3}-\frac{4}{3}w=\frac{2}{3}$$

Combine \frac{2}{3}w and -\frac{4}{3}w to get -\frac{2}{3}w.

$$-\frac{2}{3}w+\frac{2}{3}=\frac{2}{3}$$

Subtract \frac{2}{3} from both sides.

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

Subtract \frac{2}{3} from \frac{2}{3} to get 0.

$$-\frac{2}{3}w=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -\frac{2}{3} is not equal to 0, w must be equal to 0.

$$w=0$$