Solve for x -70<2x-10<50

$- 70 < 2 x - 10 < 50$

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

Add $10$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 70 + 10 < 2 x < 50 + 10$

Add $- 70$ and $10$ .

$- 60 < 2 x < 50 + 10$

Add $50$ and $10$ .

$- 60 < 2 x < 60$

Divide each term in the inequality by $2$ .

$\frac{- 60}{2} < \frac{2 x}{2} < \frac{60}{2}$

Divide $- 60$ by $2$ .

$- 30 < \frac{2 x}{2} < \frac{60}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$- 30 < \frac{2 x}{2} < \frac{60}{2}$

Divide $x$ by $1$ .

$- 30 < x < \frac{60}{2}$

Divide $60$ by $2$ .

$- 30 < x < 30$

The result can be shown in multiple forms.

Inequality Form:

$- 30 < x < 30$

Interval Notation:

$(- 30, 30)$