Solve the Inequality for x 3x-2<10

$3 x - 2 < 10$

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

Add $2$ to both sides of the inequality.

$3 x < 10 + 2$

Add $10$ and $2$ .

$3 x < 12$

Divide each term in $3 x < 12$ by $3$ and simplify.

Divide each term in $3 x < 12$ by $3$ .

$\frac{3 x}{3} < \frac{12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} < \frac{12}{3}$

Divide $x$ by $1$ .

$x < \frac{12}{3}$

Simplify the right side.

Divide $12$ by $3$ .

$x < 4$

The result can be shown in multiple forms.

Inequality Form:

$x < 4$

Interval Notation:

$(- \infty, 4)$