Solve for p p-12=8-5(p-2)

$p - 12 = 8 - 5 (p - 2)$

Simplify $8 - 5 (p - 2)$ .

Simplify each term.

Apply the distributive property.

$p - 12 = 8 - 5 p - 5 \cdot - 2$

Multiply $- 5$ by $- 2$ .

$p - 12 = 8 - 5 p + 10$

Add $8$ and $10$ .

$p - 12 = - 5 p + 18$

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

Add $5 p$ to both sides of the equation.

$p - 12 + 5 p = 18$

Add $p$ and $5 p$ .

$6 p - 12 = 18$

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

Add $12$ to both sides of the equation.

$6 p = 18 + 12$

Add $18$ and $12$ .

$6 p = 30$

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 $6$ .

$p = 5$