Solve for x 10x-3+x<30

$10 x - 3 + x < 30$

Step 1

Add $10 x$ and $x$ .

$11 x - 3 < 30$

Step 2

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

Add $3$ to both sides of the inequality.

$11 x < 30 + 3$

Add $30$ and $3$ .

$11 x < 33$

Step 3

Divide each term in $11 x < 33$ by $11$ and simplify.

Divide each term in $11 x < 33$ by $11$ .

$\frac{11 x}{11} < \frac{33}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 x}{11} < \frac{33}{11}$

Divide $x$ by $1$ .

$x < \frac{33}{11}$

Simplify the right side.

Divide $33$ by $11$ .

$x < 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 3$

Interval Notation:

$(- \infty, 3)$