Solve for p 7p+9-p=4p-2

$7 p + 9 - p = 4 p - 2$

Step 1

Subtract $p$ from $7 p$ .

$6 p + 9 = 4 p - 2$

Step 2

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

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

$6 p + 9 - 4 p = - 2$

Subtract $4 p$ from $6 p$ .

$2 p + 9 = - 2$

Step 3

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

Subtract $9$ from both sides of the equation.

$2 p = - 2 - 9$

Subtract $9$ from $- 2$ .

$2 p = - 11$

Step 4

Divide each term in $2 p = - 11$ by $2$ and simplify.

Divide each term in $2 p = - 11$ by $2$ .

$\frac{2 p}{2} = \frac{- 11}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 p}{2} = \frac{- 11}{2}$

Divide $p$ by $1$ .

$p = \frac{- 11}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$p = - \frac{11}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$p = - \frac{11}{2}$

Decimal Form:

$p = - 5.5$

Mixed Number Form:

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