Evaluate 6x-3(x+8)=9

$6 x - 3 (x + 8) = 9$

Simplify $6 x - 3 (x + 8)$ .

Simplify each term.

Apply the distributive property.

$6 x - 3 x - 3 \cdot 8 = 9$

Multiply $- 3$ by $8$ .

$6 x - 3 x - 24 = 9$

Subtract $3 x$ from $6 x$ .

$3 x - 24 = 9$

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

Add $24$ to both sides of the equation.

$3 x = 9 + 24$

Add $9$ and $24$ .

$3 x = 33$

Divide each term in $3 x = 33$ by $3$ and simplify.

Divide each term in $3 x = 33$ by $3$ .

$\frac{3 x}{3} = \frac{33}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{33}{3}$

Divide $x$ by $1$ .

$x = \frac{33}{3}$

Simplify the right side.

Divide $33$ by $3$ .

$x = 11$