Solve for x -3.6x-(-4.8x+4)=9x+1.1(-8x-6)

$- 3.6 x - (- 4.8 x + 4) = 9 x + 1.1 (- 8 x - 6)$

Step 1

Simplify $- 3.6 x - (- 4.8 x + 4)$ .

Simplify each term.

Apply the distributive property.

$- 3.6 x - (- 4.8 x) - 1 \cdot 4 = 9 x + 1.1 (- 8 x - 6)$

Multiply $- 4.8$ by $- 1$ .

$- 3.6 x + 4.8 x - 1 \cdot 4 = 9 x + 1.1 (- 8 x - 6)$

Multiply $- 1$ by $4$ .

$- 3.6 x + 4.8 x - 4 = 9 x + 1.1 (- 8 x - 6)$

Add $- 3.6 x$ and $4.8 x$ .

$1.2 x - 4 = 9 x + 1.1 (- 8 x - 6)$

Step 2

Simplify $9 x + 1.1 (- 8 x - 6)$ .

Simplify each term.

Apply the distributive property.

$1.2 x - 4 = 9 x + 1.1 (- 8 x) + 1.1 \cdot - 6$

Multiply $- 8$ by $1.1$ .

$1.2 x - 4 = 9 x - 8.8 x + 1.1 \cdot - 6$

Multiply $1.1$ by $- 6$ .

$1.2 x - 4 = 9 x - 8.8 x - 6.6$

Subtract $8.8 x$ from $9 x$ .

$1.2 x - 4 = 0.2 x - 6.6$

Step 3

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

Subtract $0.2 x$ from both sides of the equation.

$1.2 x - 4 - 0.2 x = - 6.6$

Subtract $0.2 x$ from $1.2 x$ .

$x - 4 = - 6.6$

Step 4

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

Add $4$ to both sides of the equation.

$x = - 6.6 + 4$

Add $- 6.6$ and $4$ .

$x = - 2.6$