Solve for x 2-1.8(-x-2)=1.9x

$2 - 1.8 (- x - 2) = 1.9 x$

Simplify $2 - 1.8 (- x - 2)$ .

Simplify each term.

Apply the distributive property.

$2 - 1.8 (- x) - 1.8 \cdot - 2 = 1.9 x$

Multiply $- 1$ by $- 1.8$ .

$2 + 1.8 x - 1.8 \cdot - 2 = 1.9 x$

Multiply $- 1.8$ by $- 2$ .

$2 + 1.8 x + 3.6 = 1.9 x$

Add $2$ and $3.6$ .

$1.8 x + 5.6 = 1.9 x$

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

Subtract $1.9 x$ from both sides of the equation.

$1.8 x + 5.6 - 1.9 x = 0$

Subtract $1.9 x$ from $1.8 x$ .

$- 0.1 x + 5.6 = 0$

Subtract $5.6$ from both sides of the equation.

$- 0.1 x = - 5.6$

Divide each term in $- 0.1 x = - 5.6$ by $- 0.1$ and simplify.

Divide each term in $- 0.1 x = - 5.6$ by $- 0.1$ .

$\frac{- 0.1 x}{- 0.1} = \frac{- 5.6}{- 0.1}$

Simplify the left side.

Cancel the common factor of $- 0.1$ .

Cancel the common factor.

$\frac{- 0.1 x}{- 0.1} = \frac{- 5.6}{- 0.1}$

Divide $x$ by $1$ .

$x = \frac{- 5.6}{- 0.1}$

Simplify the right side.

Divide $- 5.6$ by $- 0.1$ .

$x = 56$