Solve for x 13=3(x-3)

$13 = 3 (x - 3)$

Step 1

Rewrite the equation as $3 (x - 3) = 13$ .

$3 (x - 3) = 13$

Step 2

Divide each term in $3 (x - 3) = 13$ by $3$ and simplify.

Divide each term in $3 (x - 3) = 13$ by $3$ .

$\frac{3 (x - 3)}{3} = \frac{13}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 (x - 3)}{3} = \frac{13}{3}$

Divide $x - 3$ by $1$ .

$x - 3 = \frac{13}{3}$

Step 3

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

Add $3$ to both sides of the equation.

$x = \frac{13}{3} + 3$

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

$x = \frac{13}{3} + 3 \cdot \frac{3}{3}$

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

$x = \frac{13}{3} + \frac{3 \cdot 3}{3}$

Combine the numerators over the common denominator.

$x = \frac{13 + 3 \cdot 3}{3}$

Simplify the numerator.

Multiply $3$ by $3$ .

$x = \frac{13 + 9}{3}$

Add $13$ and $9$ .

$x = \frac{22}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{22}{3}$

Decimal Form:

$x = 7.\overline{3}$

Mixed Number Form:

$x = 7 \frac{1}{3}$