Solve for x 5x-2>15

$5 x - 2 > 15$

Step 1

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

Add $2$ to both sides of the inequality.

$5 x > 15 + 2$

Add $15$ and $2$ .

$5 x > 17$

Step 2

Divide each term in $5 x > 17$ by $5$ and simplify.

Divide each term in $5 x > 17$ by $5$ .

$\frac{5 x}{5} > \frac{17}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} > \frac{17}{5}$

Divide $x$ by $1$ .

$x > \frac{17}{5}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > \frac{17}{5}$

Interval Notation:

$(\frac{17}{5}, \infty)$