Solve 1/9-5/6w=1/6w+10/9

$$\frac { 1 } { 9 } - \frac { 5 } { 6 } w = \frac { 1 } { 6 } w + \frac { 10 } { 9 }$$

Solve for w

$$w=-1$$

Steps for Solving Linear Equation

Subtract \frac{1}{6}w from both sides.

$$\frac{1}{9}-\frac{5}{6}w-\frac{1}{6}w=\frac{10}{9}$$

Combine -\frac{5}{6}w and -\frac{1}{6}w to get -w.

$$\frac{1}{9}-w=\frac{10}{9}$$

Subtract \frac{1}{9} from both sides.

$$-w=\frac{10}{9}-\frac{1}{9}$$

Since \frac{10}{9} and \frac{1}{9} have the same denominator, subtract them by subtracting their numerators.

$$-w=\frac{10-1}{9}$$

Subtract 1 from 10 to get 9.

$$-w=\frac{9}{9}$$

Divide 9 by 9 to get 1.

$$-w=1$$

Multiply both sides by -1.

$$w=-1$$