Solve for x 4x-2<10

$4 x - 2 < 10$

Step 1

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

Add $2$ to both sides of the inequality.

$4 x < 10 + 2$

Add $10$ and $2$ .

$4 x < 12$

Step 2

Divide each term in $4 x < 12$ by $4$ and simplify.

Divide each term in $4 x < 12$ by $4$ .

$\frac{4 x}{4} < \frac{12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} < \frac{12}{4}$

Divide $x$ by $1$ .

$x < \frac{12}{4}$

Simplify the right side.

Divide $12$ by $4$ .

$x < 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 3$

Interval Notation:

$(- \infty, 3)$