Solve the Inequality for x 5(x+5)<85

$5 (x + 5) < 85$

Divide each term in $5 (x + 5) < 85$ by $5$ and simplify.

Divide each term in $5 (x + 5) < 85$ by $5$ .

$\frac{5 (x + 5)}{5} < \frac{85}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (x + 5)}{5} < \frac{85}{5}$

Divide $x + 5$ by $1$ .

$x + 5 < \frac{85}{5}$

Simplify the right side.

Divide $85$ by $5$ .

$x + 5 < 17$

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

Subtract $5$ from both sides of the inequality.

$x < 17 - 5$

Subtract $5$ from $17$ .

$x < 12$

The result can be shown in multiple forms.

Inequality Form:

$x < 12$

Interval Notation:

$(- \infty, 12)$