Algebra Examples

$- 4 (5 x + 3) - 4 \leq - 96$

Step 1

Simplify $- 4 (5 x + 3) - 4$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$- 4 (5 x) - 4 \cdot 3 - 4 \leq - 96$

Step 1.1.2

Multiply $5$ by $- 4$ .

$- 20 x - 4 \cdot 3 - 4 \leq - 96$

Step 1.1.3

Multiply $- 4$ by $3$ .

$- 20 x - 12 - 4 \leq - 96$

Step 1.2

Subtract $4$ from $- 12$ .

$- 20 x - 16 \leq - 96$

Step 2

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

Tap for more steps...

Step 2.1

Add $16$ to both sides of the inequality.

$- 20 x \leq - 96 + 16$

Step 2.2

Add $- 96$ and $16$ .

$- 20 x \leq - 80$

Step 3

Divide each term in $- 20 x \leq - 80$ by $- 20$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- 20 x \leq - 80$ by $- 20$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 20 x}{- 20} \geq \frac{- 80}{- 20}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $- 20$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{- 20 x}{- 20} \geq \frac{- 80}{- 20}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x \geq \frac{- 80}{- 20}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $- 80$ by $- 20$ .

$x \geq 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 4$

Interval Notation:

$[4, \infty)$