Solve for p -4(-3p+6)-5p=10p

$- 4 (- 3 p + 6) - 5 p = 10 p$

Simplify $- 4 (- 3 p + 6) - 5 p$ .

Simplify each term.

Apply the distributive property.

$- 4 (- 3 p) - 4 \cdot 6 - 5 p = 10 p$

Multiply $- 3$ by $- 4$ .

$12 p - 4 \cdot 6 - 5 p = 10 p$

Multiply $- 4$ by $6$ .

$12 p - 24 - 5 p = 10 p$

Subtract $5 p$ from $12 p$ .

$7 p - 24 = 10 p$

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

Subtract $10 p$ from both sides of the equation.

$7 p - 24 - 10 p = 0$

Subtract $10 p$ from $7 p$ .

$- 3 p - 24 = 0$

Add $24$ to both sides of the equation.

$- 3 p = 24$

Divide each term in $- 3 p = 24$ by $- 3$ and simplify.

Divide each term in $- 3 p = 24$ by $- 3$ .

$\frac{- 3 p}{- 3} = \frac{24}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 p}{- 3} = \frac{24}{- 3}$

Divide $p$ by $1$ .

$p = \frac{24}{- 3}$

Simplify the right side.

Divide $24$ by $- 3$ .

$p = - 8$