Graph 5x+17>=-23

$5 x + 17 \geq - 23$

Step 1

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

Subtract $17$ from both sides of the inequality.

$5 x \geq - 23 - 17$

Subtract $17$ from $- 23$ .

$5 x \geq - 40$

Step 2

Divide each term in $5 x \geq - 40$ by $5$ and simplify.

Divide each term in $5 x \geq - 40$ by $5$ .

$\frac{5 x}{5} \geq \frac{- 40}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} \geq \frac{- 40}{5}$

Divide $x$ by $1$ .

$x \geq \frac{- 40}{5}$

Simplify the right side.

Divide $- 40$ by $5$ .

$x \geq - 8$

Step 3