Solve for x -2(x+4)+6=-3

$- 2 (x + 4) + 6 = - 3$

Simplify $- 2 (x + 4) + 6$ .

Simplify each term.

Apply the distributive property.

$- 2 x - 2 \cdot 4 + 6 = - 3$

Multiply $- 2$ by $4$ .

$- 2 x - 8 + 6 = - 3$

Add $- 8$ and $6$ .

$- 2 x - 2 = - 3$

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

Add $2$ to both sides of the equation.

$- 2 x = - 3 + 2$

Add $- 3$ and $2$ .

$- 2 x = - 1$

Divide each term in $- 2 x = - 1$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 1$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 1}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 1}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 1}{- 2}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$