Solve for x x/5-9>3

$\frac{x}{5} - 9 > 3$

Step 1

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

Add $9$ to both sides of the inequality.

$\frac{x}{5} > 3 + 9$

Add $3$ and $9$ .

$\frac{x}{5} > 12$

Step 2

Multiply both sides by $5$ .

$\frac{x}{5} \cdot 5 > 12 \cdot 5$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{x}{5} \cdot 5 > 12 \cdot 5$

Rewrite the expression.

$x > 12 \cdot 5$

Simplify the right side.

Multiply $12$ by $5$ .

$x > 60$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 60$

Interval Notation:

$(60, \infty)$