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

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

Step 1

Divide each term in $3 (x + 2) = 5$ by $3$ and simplify.

Divide each term in $3 (x + 2) = 5$ by $3$ .

$\frac{3 (x + 2)}{3} = \frac{5}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 (x + 2)}{3} = \frac{5}{3}$

Divide $x + 2$ by $1$ .

$x + 2 = \frac{5}{3}$

Step 2

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

Subtract $2$ from both sides of the equation.

$x = \frac{5}{3} - 2$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$x = \frac{5}{3} - 2 \cdot \frac{3}{3}$

Combine $- 2$ and $\frac{3}{3}$ .

$x = \frac{5}{3} + \frac{- 2 \cdot 3}{3}$

Combine the numerators over the common denominator.

$x = \frac{5 - 2 \cdot 3}{3}$

Simplify the numerator.

Multiply $- 2$ by $3$ .

$x = \frac{5 - 6}{3}$

Subtract $6$ from $5$ .

$x = \frac{- 1}{3}$

Move the negative in front of the fraction.

$x = - \frac{1}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{3}$

Decimal Form:

$x = - 0.\overline{3}$