Solve for x -3+3x=-2(x+1)

$- 3 + 3 x = - 2 (x + 1)$

Simplify $- 2 (x + 1)$ .

Rewrite.

$- 3 + 3 x = 0 + 0 - 2 (x + 1)$

Simplify by adding zeros.

$- 3 + 3 x = - 2 (x + 1)$

Apply the distributive property.

$- 3 + 3 x = - 2 x - 2 \cdot 1$

Multiply $- 2$ by $1$ .

$- 3 + 3 x = - 2 x - 2$

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

Add $2 x$ to both sides of the equation.

$- 3 + 3 x + 2 x = - 2$

Add $3 x$ and $2 x$ .

$- 3 + 5 x = - 2$

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

Add $3$ to both sides of the equation.

$5 x = - 2 + 3$

Add $- 2$ and $3$ .

$5 x = 1$

Divide each term in $5 x = 1$ by $5$ and simplify.

Divide each term in $5 x = 1$ by $5$ .

$\frac{5 x}{5} = \frac{1}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{1}{5}$

Divide $x$ by $1$ .

$x = \frac{1}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{5}$

Decimal Form:

$x = 0.2$