Algebra Examples

$2 x < 7 x - 36$

Step 1

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

Tap for more steps...

Step 1.1

Subtract $7 x$ from both sides of the inequality.

$2 x - 7 x < - 36$

Step 1.2

Subtract $7 x$ from $2 x$ .

$- 5 x < - 36$

Step 2

Divide each term in $- 5 x < - 36$ by $- 5$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- 5 x < - 36$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 x}{- 5} > \frac{- 36}{- 5}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $- 5$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} > \frac{- 36}{- 5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x > \frac{- 36}{- 5}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Dividing two negative values results in a positive value.

$x > \frac{36}{5}$

Step 3