Graph -12<=-6x+3

$- 12 \leq - 6 x + 3$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$- 6 x + 3 \geq - 12$

Step 2

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

Subtract $3$ from both sides of the inequality.

$- 6 x \geq - 12 - 3$

Subtract $3$ from $- 12$ .

$- 6 x \geq - 15$

Step 3

Divide each term in $- 6 x \geq - 15$ by $- 6$ and simplify.

Divide each term in $- 6 x \geq - 15$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 x}{- 6} \leq \frac{- 15}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} \leq \frac{- 15}{- 6}$

Divide $x$ by $1$ .

$x \leq \frac{- 15}{- 6}$

Simplify the right side.

Cancel the common factor of $- 15$ and $- 6$ .

Factor $- 3$ out of $- 15$ .

$x \leq \frac{- 3 (5)}{- 6}$

Cancel the common factors.

Factor $- 3$ out of $- 6$ .

$x \leq \frac{- 3 \cdot 5}{- 3 \cdot 2}$

Cancel the common factor.

$x \leq \frac{- 3 \cdot 5}{- 3 \cdot 2}$

Rewrite the expression.

$x \leq \frac{5}{2}$

Step 4

Graph -12<=-6x+3

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