Solve for x 2(x+7)+3x=12

$2 (x + 7) + 3 x = 12$

Step 1

Simplify $2 (x + 7) + 3 x$ .

Simplify each term.

Apply the distributive property.

$2 x + 2 \cdot 7 + 3 x = 12$

Multiply $2$ by $7$ .

$2 x + 14 + 3 x = 12$

Add $2 x$ and $3 x$ .

$5 x + 14 = 12$

Step 2

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

Subtract $14$ from both sides of the equation.

$5 x = 12 - 14$

Subtract $14$ from $12$ .

$5 x = - 2$

Step 3

Divide each term in $5 x = - 2$ by $5$ and simplify.

Divide each term in $5 x = - 2$ by $5$ .

$\frac{5 x}{5} = \frac{- 2}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 2}{5}$

Divide $x$ by $1$ .

$x = \frac{- 2}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{2}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{2}{5}$

Decimal Form:

$x = - 0.4$