Solve for x -2x-3>=21

$- 2 x - 3 \geq 21$

Step 1

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

Add $3$ to both sides of the inequality.

$- 2 x \geq 21 + 3$

Add $21$ and $3$ .

$- 2 x \geq 24$

Step 2

Divide each term in $- 2 x \geq 24$ by $- 2$ and simplify.

Divide each term in $- 2 x \geq 24$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} \leq \frac{24}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} \leq \frac{24}{- 2}$

Divide $x$ by $1$ .

$x \leq \frac{24}{- 2}$

Simplify the right side.

Divide $24$ by $- 2$ .

$x \leq - 12$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 12$

Interval Notation:

$(- \infty, - 12]$

Solve for x -2x-3>=21

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