Solve for x (4(x+4))/5=-4-x

$\frac{4 (x + 4)}{5} = - 4 - x$

Multiply both sides by $5$ .

$\frac{4 (x + 4)}{5} \cdot 5 = (- 4 - x) \cdot 5$

Simplify.

Simplify the left side.

Simplify $\frac{4 (x + 4)}{5} \cdot 5$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{4 (x + 4)}{5} \cdot 5 = (- 4 - x) \cdot 5$

Rewrite the expression.

$4 (x + 4) = (- 4 - x) \cdot 5$

Apply the distributive property.

$4 x + 4 \cdot 4 = (- 4 - x) \cdot 5$

Multiply $4$ by $4$ .

$4 x + 16 = (- 4 - x) \cdot 5$

Simplify the right side.

Simplify $(- 4 - x) \cdot 5$ .

Apply the distributive property.

$4 x + 16 = - 4 \cdot 5 - x \cdot 5$

Simplify the expression.

Multiply $- 4$ by $5$ .

$4 x + 16 = - 20 - x \cdot 5$

Multiply $5$ by $- 1$ .

$4 x + 16 = - 20 - 5 x$

Reorder $- 20$ and $- 5 x$ .

$4 x + 16 = - 5 x - 20$

Solve for $x$ .

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

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

$4 x + 16 + 5 x = - 20$

Add $4 x$ and $5 x$ .

$9 x + 16 = - 20$

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

Subtract $16$ from both sides of the equation.

$9 x = - 20 - 16$

Subtract $16$ from $- 20$ .

$9 x = - 36$

Divide each term in $9 x = - 36$ by $9$ and simplify.

Divide each term in $9 x = - 36$ by $9$ .

$\frac{9 x}{9} = \frac{- 36}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{- 36}{9}$

Divide $x$ by $1$ .

$x = \frac{- 36}{9}$

Simplify the right side.

Divide $- 36$ by $9$ .

$x = - 4$

Solve for x (4(x+4))/5=-4-x

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