Solve for p 14p-8=22+20p

$14 p - 8 = 22 + 20 p$

Step 1

Move all terms containing $p$ to the left side of the equation.

Subtract $20 p$ from both sides of the equation.

$14 p - 8 - 20 p = 22$

Subtract $20 p$ from $14 p$ .

$- 6 p - 8 = 22$

Step 2

Move all terms not containing $p$ to the right side of the equation.

Add $8$ to both sides of the equation.

$- 6 p = 22 + 8$

Add $22$ and $8$ .

$- 6 p = 30$

Step 3

Divide each term in $- 6 p = 30$ by $- 6$ and simplify.

Divide each term in $- 6 p = 30$ by $- 6$ .

$\frac{- 6 p}{- 6} = \frac{30}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 p}{- 6} = \frac{30}{- 6}$

Divide $p$ by $1$ .

$p = \frac{30}{- 6}$

Simplify the right side.

Divide $30$ by $- 6$ .

$p = - 5$