Solve for x 3(x+2)-12=5(x+1)

$3 (x + 2) - 12 = 5 (x + 1)$

Simplify $3 (x + 2) - 12$ .

Simplify each term.

Apply the distributive property.

$3 x + 3 \cdot 2 - 12 = 5 (x + 1)$

Multiply $3$ by $2$ .

$3 x + 6 - 12 = 5 (x + 1)$

Subtract $12$ from $6$ .

$3 x - 6 = 5 (x + 1)$

Simplify $5 (x + 1)$ .

Apply the distributive property.

$3 x - 6 = 5 x + 5 \cdot 1$

Multiply $5$ by $1$ .

$3 x - 6 = 5 x + 5$

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

Subtract $5 x$ from both sides of the equation.

$3 x - 6 - 5 x = 5$

Subtract $5 x$ from $3 x$ .

$- 2 x - 6 = 5$

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

Add $6$ to both sides of the equation.

$- 2 x = 5 + 6$

Add $5$ and $6$ .

$- 2 x = 11$

Divide each term in $- 2 x = 11$ by $- 2$ and simplify.

Divide each term in $- 2 x = 11$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{11}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{11}{- 2}$

Divide $x$ by $1$ .

$x = \frac{11}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{11}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{2}$

Decimal Form:

$x = - 5.5$

Mixed Number Form:

$x = - 5 \frac{1}{2}$