Solve for x -5x-15>10+20x

$- 5 x - 15 > 10 + 20 x$

Step 1

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

Subtract $20 x$ from both sides of the inequality.

$- 5 x - 15 - 20 x > 10$

Subtract $20 x$ from $- 5 x$ .

$- 25 x - 15 > 10$

Step 2

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

Add $15$ to both sides of the inequality.

$- 25 x > 10 + 15$

Add $10$ and $15$ .

$- 25 x > 25$

Step 3

Divide each term in $- 25 x > 25$ by $- 25$ and simplify.

Divide each term in $- 25 x > 25$ by $- 25$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 25 x}{- 25} < \frac{25}{- 25}$

Simplify the left side.

Cancel the common factor of $- 25$ .

Cancel the common factor.

$\frac{- 25 x}{- 25} < \frac{25}{- 25}$

Divide $x$ by $1$ .

$x < \frac{25}{- 25}$

Simplify the right side.

Divide $25$ by $- 25$ .

$x < - 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - 1$

Interval Notation:

$(- \infty, - 1)$

Solve for x -5x-15>10+20x

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