Solve for x -18<15x-3<147

$- 18 < 15 x - 3 < 147$

Move all terms not containing $x$ from the center section of the inequality.

Add $3$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 18 + 3 < 15 x < 147 + 3$

Add $- 18$ and $3$ .

$- 15 < 15 x < 147 + 3$

Add $147$ and $3$ .

$- 15 < 15 x < 150$

Divide each term in the inequality by $15$ .

$\frac{- 15}{15} < \frac{15 x}{15} < \frac{150}{15}$

Divide $- 15$ by $15$ .

$- 1 < \frac{15 x}{15} < \frac{150}{15}$

Cancel the common factor of $15$ .

Cancel the common factor.

$- 1 < \frac{15 x}{15} < \frac{150}{15}$

Divide $x$ by $1$ .

$- 1 < x < \frac{150}{15}$

Divide $150$ by $15$ .

$- 1 < x < 10$

The result can be shown in multiple forms.

Inequality Form:

$- 1 < x < 10$

Interval Notation:

$(- 1, 10)$