Solve for x 5x-9<=21

$5 x - 9 \leq 21$

Step 1

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

Add $9$ to both sides of the inequality.

$5 x \leq 21 + 9$

Add $21$ and $9$ .

$5 x \leq 30$

Step 2

Divide each term in $5 x \leq 30$ by $5$ and simplify.

Divide each term in $5 x \leq 30$ by $5$ .

$\frac{5 x}{5} \leq \frac{30}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} \leq \frac{30}{5}$

Divide $x$ by $1$ .

$x \leq \frac{30}{5}$

Simplify the right side.

Divide $30$ by $5$ .

$x \leq 6$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq 6$

Interval Notation:

$(- \infty, 6]$