Solve for x -118=-5(4+7x)+7

$- 118 = - 5 (4 + 7 x) + 7$

Rewrite the equation as $- 5 (4 + 7 x) + 7 = - 118$ .

$- 5 (4 + 7 x) + 7 = - 118$

Simplify $- 5 (4 + 7 x) + 7$ .

Simplify each term.

Apply the distributive property.

$- 5 \cdot 4 - 5 (7 x) + 7 = - 118$

Multiply $- 5$ by $4$ .

$- 20 - 5 (7 x) + 7 = - 118$

Multiply $7$ by $- 5$ .

$- 20 - 35 x + 7 = - 118$

Add $- 20$ and $7$ .

$- 35 x - 13 = - 118$

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

Add $13$ to both sides of the equation.

$- 35 x = - 118 + 13$

Add $- 118$ and $13$ .

$- 35 x = - 105$

Divide each term in $- 35 x = - 105$ by $- 35$ and simplify.

Divide each term in $- 35 x = - 105$ by $- 35$ .

$\frac{- 35 x}{- 35} = \frac{- 105}{- 35}$

Simplify the left side.

Cancel the common factor of $- 35$ .

Cancel the common factor.

$\frac{- 35 x}{- 35} = \frac{- 105}{- 35}$

Divide $x$ by $1$ .

$x = \frac{- 105}{- 35}$

Simplify the right side.

Divide $- 105$ by $- 35$ .

$x = 3$