Solve for x 18=3(3x-6)

$18 = 3 (3 x - 6)$

Step 1

Rewrite the equation as $3 (3 x - 6) = 18$ .

$3 (3 x - 6) = 18$

Step 2

Divide each term in $3 (3 x - 6) = 18$ by $3$ and simplify.

Divide each term in $3 (3 x - 6) = 18$ by $3$ .

$\frac{3 (3 x - 6)}{3} = \frac{18}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 (3 x - 6)}{3} = \frac{18}{3}$

Divide $3 x - 6$ by $1$ .

$3 x - 6 = \frac{18}{3}$

Simplify the right side.

Divide $18$ by $3$ .

$3 x - 6 = 6$

Step 3

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

Add $6$ to both sides of the equation.

$3 x = 6 + 6$

Add $6$ and $6$ .

$3 x = 12$

Step 4

Divide each term in $3 x = 12$ by $3$ and simplify.

Divide each term in $3 x = 12$ by $3$ .

$\frac{3 x}{3} = \frac{12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{12}{3}$

Divide $x$ by $1$ .

$x = \frac{12}{3}$

Simplify the right side.

Divide $12$ by $3$ .

$x = 4$