Solve for x 9(2x-6)-(x+3)=4x-18

$9 (2 x - 6) - (x + 3) = 4 x - 18$

Simplify $9 (2 x - 6) - (x + 3)$ .

Simplify each term.

Apply the distributive property.

$9 (2 x) + 9 \cdot - 6 - (x + 3) = 4 x - 18$

Multiply $2$ by $9$ .

$18 x + 9 \cdot - 6 - (x + 3) = 4 x - 18$

Multiply $9$ by $- 6$ .

$18 x - 54 - (x + 3) = 4 x - 18$

Apply the distributive property.

$18 x - 54 - x - 1 \cdot 3 = 4 x - 18$

Multiply $- 1$ by $3$ .

$18 x - 54 - x - 3 = 4 x - 18$

Simplify by adding terms.

Subtract $x$ from $18 x$ .

$17 x - 54 - 3 = 4 x - 18$

Subtract $3$ from $- 54$ .

$17 x - 57 = 4 x - 18$

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

Subtract $4 x$ from both sides of the equation.

$17 x - 57 - 4 x = - 18$

Subtract $4 x$ from $17 x$ .

$13 x - 57 = - 18$

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

Add $57$ to both sides of the equation.

$13 x = - 18 + 57$

Add $- 18$ and $57$ .

$13 x = 39$

Divide each term in $13 x = 39$ by $13$ and simplify.

Divide each term in $13 x = 39$ by $13$ .

$\frac{13 x}{13} = \frac{39}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 x}{13} = \frac{39}{13}$

Divide $x$ by $1$ .

$x = \frac{39}{13}$

Simplify the right side.

Divide $39$ by $13$ .

$x = 3$