Solve for x 7.9x-(5.9x-2.4)=-4(-x-2)

$7.9 x - (5.9 x - 2.4) = - 4 (- x - 2)$

Simplify $7.9 x - (5.9 x - 2.4)$ .

Simplify each term.

Apply the distributive property.

$7.9 x - (5.9 x) - - 2.4 = - 4 (- x - 2)$

Multiply $5.9$ by $- 1$ .

$7.9 x - 5.9 x - - 2.4 = - 4 (- x - 2)$

Multiply $- 1$ by $- 2.4$ .

$7.9 x - 5.9 x + 2.4 = - 4 (- x - 2)$

Subtract $5.9 x$ from $7.9 x$ .

$2 x + 2.4 = - 4 (- x - 2)$

Simplify $- 4 (- x - 2)$ .

Apply the distributive property.

$2 x + 2.4 = - 4 (- x) - 4 \cdot - 2$

Multiply.

Multiply $- 1$ by $- 4$ .

$2 x + 2.4 = 4 x - 4 \cdot - 2$

Multiply $- 4$ by $- 2$ .

$2 x + 2.4 = 4 x + 8$

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

Subtract $4 x$ from both sides of the equation.

$2 x + 2.4 - 4 x = 8$

Subtract $4 x$ from $2 x$ .

$- 2 x + 2.4 = 8$

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

Subtract $2.4$ from both sides of the equation.

$- 2 x = 8 - 2.4$

Subtract $2.4$ from $8$ .

$- 2 x = 5.6$

Divide each term in $- 2 x = 5.6$ by $- 2$ and simplify.

Divide each term in $- 2 x = 5.6$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{5.6}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{5.6}{- 2}$

Divide $x$ by $1$ .

$x = \frac{5.6}{- 2}$

Simplify the right side.

Divide $5.6$ by $- 2$ .

$x = - 2.8$