Solve for x 8+x/5>18

$8 + \frac{x}{5} > 18$

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

Subtract $8$ from both sides of the inequality.

$\frac{x}{5} > 18 - 8$

Subtract $8$ from $18$ .

$\frac{x}{5} > 10$

Multiply both sides by $5$ .

$\frac{x}{5} \cdot 5 > 10 \cdot 5$

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{x}{5} \cdot 5 > 10 \cdot 5$

Rewrite the expression.

$x > 10 \cdot 5$

Simplify the right side.

Multiply $10$ by $5$ .

$x > 50$

The result can be shown in multiple forms.

Inequality Form:

$x > 50$

Interval Notation:

$(50, \infty)$