Solve 1/6p=1/5p+2/3

$$\frac { 1 } { 6 } p = \frac { 1 } { 5 } p + \frac { 2 } { 3 }$$

Solve for p

$$p=-20$$

Steps for Solving Linear Equation

Subtract \frac{1}{5}p from both sides.

$$\frac{1}{6}p-\frac{1}{5}p=\frac{2}{3}$$

Combine \frac{1}{6}p and -\frac{1}{5}p to get -\frac{1}{30}p.

$$-\frac{1}{30}p=\frac{2}{3}$$

Multiply both sides by -30, the reciprocal of -\frac{1}{30}.

$$p=\frac{2}{3}\left(-30\right)$$

Express \frac{2}{3}\left(-30\right) as a single fraction.

$$p=\frac{2\left(-30\right)}{3}$$

Multiply 2 and -30 to get -60.

$$p=\frac{-60}{3}$$

Divide -60 by 3 to get -20.

$$p=-20$$