Solve for x 2x=-3x-2(x-3.1)-5.5

$2 x = - 3 x - 2 (x - 3.1) - 5.5$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 3 x - 2 (x - 3.1) - 5.5 = 2 x$

Step 2

Simplify $- 3 x - 2 (x - 3.1) - 5.5$ .

Simplify each term.

Apply the distributive property.

$- 3 x - 2 x - 2 \cdot - 3.1 - 5.5 = 2 x$

Multiply $- 2$ by $- 3.1$ .

$- 3 x - 2 x + 6.2 - 5.5 = 2 x$

Simplify by adding terms.

Subtract $2 x$ from $- 3 x$ .

$- 5 x + 6.2 - 5.5 = 2 x$

Subtract $5.5$ from $6.2$ .

$- 5 x + 0.7 = 2 x$

Step 3

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

Subtract $2 x$ from both sides of the equation.

$- 5 x + 0.7 - 2 x = 0$

Subtract $2 x$ from $- 5 x$ .

$- 7 x + 0.7 = 0$

Step 4

Subtract $0.7$ from both sides of the equation.

$- 7 x = - 0.7$

Step 5

Divide each term in $- 7 x = - 0.7$ by $- 7$ and simplify.

Divide each term in $- 7 x = - 0.7$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{- 0.7}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{- 0.7}{- 7}$

Divide $x$ by $1$ .

$x = \frac{- 0.7}{- 7}$

Simplify the right side.

Divide $- 0.7$ by $- 7$ .

$x = 0.1$