Solve the Inequality for x 3x-5<=10

$3 x - 5 \leq 10$

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

Add $5$ to both sides of the inequality.

$3 x \leq 10 + 5$

Add $10$ and $5$ .

$3 x \leq 15$

Divide each term in $3 x \leq 15$ by $3$ and simplify.

Divide each term in $3 x \leq 15$ by $3$ .

$\frac{3 x}{3} \leq \frac{15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} \leq \frac{15}{3}$

Divide $x$ by $1$ .

$x \leq \frac{15}{3}$

Simplify the right side.

Divide $15$ by $3$ .

$x \leq 5$

The result can be shown in multiple forms.

Inequality Form:

$x \leq 5$

Interval Notation:

$(- \infty, 5]$