Solve 6/p-1/2=10/p

$$\frac { 6 } { p } - \frac { 1 } { 2 } = \frac { 10 } { p }$$

Solve for p

$$p=-8$$

Steps for Solving Linear Equation

Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2p, the least common multiple of p,2.

$$2\times 6+2p\left(-\frac{1}{2}\right)=2\times 10$$

Multiply 2 and 6 to get 12.

$$12+2p\left(-\frac{1}{2}\right)=2\times 10$$

Cancel out 2 and 2.

$$12-p=2\times 10$$

Multiply 2 and 10 to get 20.

$$12-p=20$$

Subtract 12 from both sides.

$$-p=20-12$$

Subtract 12 from 20 to get 8.

$$-p=8$$

Multiply both sides by -1.

$$p=-8$$