Solve the Inequality for x 16x+(5-x)>30

$16 x + (5 - x) > 30$

Subtract $x$ from $16 x$ .

$15 x + 5 > 30$

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

Subtract $5$ from both sides of the inequality.

$15 x > 30 - 5$

Subtract $5$ from $30$ .

$15 x > 25$

Divide each term in $15 x > 25$ by $15$ and simplify.

Divide each term in $15 x > 25$ by $15$ .

$\frac{15 x}{15} > \frac{25}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} > \frac{25}{15}$

Divide $x$ by $1$ .

$x > \frac{25}{15}$

Simplify the right side.

Cancel the common factor of $25$ and $15$ .

Factor $5$ out of $25$ .

$x > \frac{5 (5)}{15}$

Cancel the common factors.

Factor $5$ out of $15$ .

$x > \frac{5 \cdot 5}{5 \cdot 3}$

Cancel the common factor.

$x > \frac{5 \cdot 5}{5 \cdot 3}$

Rewrite the expression.

$x > \frac{5}{3}$

The result can be shown in multiple forms.

Inequality Form:

$x > \frac{5}{3}$

Interval Notation:

$(\frac{5}{3}, \infty)$