Solve for s 2s+4=5(-4-2s)

$2 s + 4 = 5 (- 4 - 2 s)$

Simplify $5 (- 4 - 2 s)$ .

Rewrite.

$2 s + 4 = 0 + 0 + 5 (- 4 - 2 s)$

Simplify by adding zeros.

$2 s + 4 = 5 (- 4 - 2 s)$

Apply the distributive property.

$2 s + 4 = 5 \cdot - 4 + 5 (- 2 s)$

Multiply.

Multiply $5$ by $- 4$ .

$2 s + 4 = - 20 + 5 (- 2 s)$

Multiply $- 2$ by $5$ .

$2 s + 4 = - 20 - 10 s$

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

Add $10 s$ to both sides of the equation.

$2 s + 4 + 10 s = - 20$

Add $2 s$ and $10 s$ .

$12 s + 4 = - 20$

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

Subtract $4$ from both sides of the equation.

$12 s = - 20 - 4$

Subtract $4$ from $- 20$ .

$12 s = - 24$

Divide each term in $12 s = - 24$ by $12$ and simplify.

Divide each term in $12 s = - 24$ by $12$ .

$\frac{12 s}{12} = \frac{- 24}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 s}{12} = \frac{- 24}{12}$

Divide $s$ by $1$ .

$s = \frac{- 24}{12}$

Simplify the right side.

Divide $- 24$ by $12$ .

$s = - 2$