Solve for x x/5-3<=6

$\frac{x}{5} - 3 \leq 6$

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

Add $3$ to both sides of the inequality.

$\frac{x}{5} \leq 6 + 3$

Add $6$ and $3$ .

$\frac{x}{5} \leq 9$

Multiply both sides by $5$ .

$\frac{x}{5} \cdot 5 \leq 9 \cdot 5$

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{x}{5} \cdot 5 \leq 9 \cdot 5$

Rewrite the expression.

$x \leq 9 \cdot 5$

Simplify the right side.

Multiply $9$ by $5$ .

$x \leq 45$

The result can be shown in multiple forms.

Inequality Form:

$x \leq 45$

Interval Notation:

$(- \infty, 45]$