Graph -6+6x<=3x-9

$- 6 + 6 x \leq 3 x - 9$

Step 1

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

Subtract $3 x$ from both sides of the inequality.

$- 6 + 6 x - 3 x \leq - 9$

Subtract $3 x$ from $6 x$ .

$- 6 + 3 x \leq - 9$

Step 2

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

Add $6$ to both sides of the inequality.

$3 x \leq - 9 + 6$

Add $- 9$ and $6$ .

$3 x \leq - 3$

Step 3

Divide each term in $3 x \leq - 3$ by $3$ and simplify.

Divide each term in $3 x \leq - 3$ by $3$ .

$\frac{3 x}{3} \leq \frac{- 3}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} \leq \frac{- 3}{3}$

Divide $x$ by $1$ .

$x \leq \frac{- 3}{3}$

Simplify the right side.

Divide $- 3$ by $3$ .

$x \leq - 1$

Step 4