Solve for x -4x=-6(8+x)

$- 4 x = - 6 (8 + x)$

Simplify $- 6 (8 + x)$ .

Apply the distributive property.

$- 4 x = - 6 \cdot 8 - 6 x$

Multiply $- 6$ by $8$ .

$- 4 x = - 48 - 6 x$

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

Add $6 x$ to both sides of the equation.

$- 4 x + 6 x = - 48$

Add $- 4 x$ and $6 x$ .

$2 x = - 48$

Divide each term in $2 x = - 48$ by $2$ and simplify.

Divide each term in $2 x = - 48$ by $2$ .

$\frac{2 x}{2} = \frac{- 48}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 48}{2}$

Divide $x$ by $1$ .

$x = \frac{- 48}{2}$

Simplify the right side.

Divide $- 48$ by $2$ .

$x = - 24$