Solve for x -178=-5x+4(-4x-13)

$- 178 = - 5 x + 4 (- 4 x - 13)$

Rewrite the equation as $- 5 x + 4 (- 4 x - 13) = - 178$ .

$- 5 x + 4 (- 4 x - 13) = - 178$

Simplify $- 5 x + 4 (- 4 x - 13)$ .

Simplify each term.

Apply the distributive property.

$- 5 x + 4 (- 4 x) + 4 \cdot - 13 = - 178$

Multiply $- 4$ by $4$ .

$- 5 x - 16 x + 4 \cdot - 13 = - 178$

Multiply $4$ by $- 13$ .

$- 5 x - 16 x - 52 = - 178$

Subtract $16 x$ from $- 5 x$ .

$- 21 x - 52 = - 178$

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

Add $52$ to both sides of the equation.

$- 21 x = - 178 + 52$

Add $- 178$ and $52$ .

$- 21 x = - 126$

Divide each term in $- 21 x = - 126$ by $- 21$ and simplify.

Divide each term in $- 21 x = - 126$ by $- 21$ .

$\frac{- 21 x}{- 21} = \frac{- 126}{- 21}$

Simplify the left side.

Cancel the common factor of $- 21$ .

Cancel the common factor.

$\frac{- 21 x}{- 21} = \frac{- 126}{- 21}$

Divide $x$ by $1$ .

$x = \frac{- 126}{- 21}$

Simplify the right side.

Divide $- 126$ by $- 21$ .

$x = 6$