Solve for p -7+4p=-8p+11

$- 7 + 4 p = - 8 p + 11$

Step 1

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

Add $8 p$ to both sides of the equation.

$- 7 + 4 p + 8 p = 11$

Add $4 p$ and $8 p$ .

$- 7 + 12 p = 11$

Step 2

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

Add $7$ to both sides of the equation.

$12 p = 11 + 7$

Add $11$ and $7$ .

$12 p = 18$

Step 3

Divide each term in $12 p = 18$ by $12$ and simplify.

Divide each term in $12 p = 18$ by $12$ .

$\frac{12 p}{12} = \frac{18}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 p}{12} = \frac{18}{12}$

Divide $p$ by $1$ .

$p = \frac{18}{12}$

Simplify the right side.

Cancel the common factor of $18$ and $12$ .

Factor $6$ out of $18$ .

$p = \frac{6 (3)}{12}$

Cancel the common factors.

Factor $6$ out of $12$ .

$p = \frac{6 \cdot 3}{6 \cdot 2}$

Cancel the common factor.

$p = \frac{6 \cdot 3}{6 \cdot 2}$

Rewrite the expression.

$p = \frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{3}{2}$

Decimal Form:

$p = 1.5$

Mixed Number Form:

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