Solve the Inequality for x -9>-4+5x

$- 9 > - 4 + 5 x$

Rewrite so $x$ is on the left side of the inequality.

$- 4 + 5 x < - 9$

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

Add $4$ to both sides of the inequality.

$5 x < - 9 + 4$

Add $- 9$ and $4$ .

$5 x < - 5$

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

Divide each term in $5 x < - 5$ by $5$ .

$\frac{5 x}{5} < \frac{- 5}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} < \frac{- 5}{5}$

Divide $x$ by $1$ .

$x < \frac{- 5}{5}$

Simplify the right side.

Divide $- 5$ by $5$ .

$x < - 1$

The result can be shown in multiple forms.

Inequality Form:

$x < - 1$

Interval Notation:

$(- \infty, - 1)$