Solve for x 4x+49<9-x

$4 x + 49 < 9 - x$

Step 1

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

Add $x$ to both sides of the inequality.

$4 x + 49 + x < 9$

Add $4 x$ and $x$ .

$5 x + 49 < 9$

Step 2

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

Subtract $49$ from both sides of the inequality.

$5 x < 9 - 49$

Subtract $49$ from $9$ .

$5 x < - 40$

Step 3

Divide each term in $5 x < - 40$ by $5$ and simplify.

Divide each term in $5 x < - 40$ by $5$ .

$\frac{5 x}{5} < \frac{- 40}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} < \frac{- 40}{5}$

Divide $x$ by $1$ .

$x < \frac{- 40}{5}$

Simplify the right side.

Divide $- 40$ by $5$ .

$x < - 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - 8$

Interval Notation:

$(- \infty, - 8)$