Solve for p 22p+11=4p-7

$22 p + 11 = 4 p - 7$

Step 1

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

Subtract $4 p$ from both sides of the equation.

$22 p + 11 - 4 p = - 7$

Subtract $4 p$ from $22 p$ .

$18 p + 11 = - 7$

Step 2

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

Subtract $11$ from both sides of the equation.

$18 p = - 7 - 11$

Subtract $11$ from $- 7$ .

$18 p = - 18$

Step 3

Divide each term in $18 p = - 18$ by $18$ and simplify.

Divide each term in $18 p = - 18$ by $18$ .

$\frac{18 p}{18} = \frac{- 18}{18}$

Simplify the left side.

Cancel the common factor of $18$ .

Cancel the common factor.

$\frac{18 p}{18} = \frac{- 18}{18}$

Divide $p$ by $1$ .

$p = \frac{- 18}{18}$

Simplify the right side.

Divide $- 18$ by $18$ .

$p = - 1$