Solve for p -6+p+9=8-4p

$- 6 + p + 9 = 8 - 4 p$

Step 1

Add $- 6$ and $9$ .

$p + 3 = 8 - 4 p$

Step 2

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

Add $4 p$ to both sides of the equation.

$p + 3 + 4 p = 8$

Add $p$ and $4 p$ .

$5 p + 3 = 8$

Step 3

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

Subtract $3$ from both sides of the equation.

$5 p = 8 - 3$

Subtract $3$ from $8$ .

$5 p = 5$

Step 4

Divide each term in $5 p = 5$ by $5$ and simplify.

Divide each term in $5 p = 5$ by $5$ .

$\frac{5 p}{5} = \frac{5}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 p}{5} = \frac{5}{5}$

Divide $p$ by $1$ .

$p = \frac{5}{5}$

Simplify the right side.

Divide $5$ by $5$ .

$p = 1$