Solve the Inequality for x 3x-2>7

$3 x - 2 > 7$

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

Add $2$ to both sides of the inequality.

$3 x > 7 + 2$

Add $7$ and $2$ .

$3 x > 9$

Divide each term in $3 x > 9$ by $3$ and simplify.

Divide each term in $3 x > 9$ by $3$ .

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $9$ by $3$ .

$x > 3$

The result can be shown in multiple forms.

Inequality Form:

$x > 3$

Interval Notation:

$(3, \infty)$