Solve for x 2x-3(x+4)=-5

$2 x - 3 (x + 4) = - 5$

Step 1

Simplify $2 x - 3 (x + 4)$ .

Simplify each term.

Apply the distributive property.

$2 x - 3 x - 3 \cdot 4 = - 5$

Multiply $- 3$ by $4$ .

$2 x - 3 x - 12 = - 5$

Subtract $3 x$ from $2 x$ .

$- x - 12 = - 5$

Step 2

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

Add $12$ to both sides of the equation.

$- x = - 5 + 12$

Add $- 5$ and $12$ .

$- x = 7$

Step 3

Divide each term in $- x = 7$ by $- 1$ and simplify.

Divide each term in $- x = 7$ by $- 1$ .

$\frac{- x}{- 1} = \frac{7}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{7}{- 1}$

Divide $x$ by $1$ .

$x = \frac{7}{- 1}$

Simplify the right side.

Divide $7$ by $- 1$ .

$x = - 7$