Solve for x -10<=2x-6<=4

$- 10 \leq 2 x - 6 \leq 4$

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

Add $6$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 10 + 6 \leq 2 x \leq 4 + 6$

Add $- 10$ and $6$ .

$- 4 \leq 2 x \leq 4 + 6$

Add $4$ and $6$ .

$- 4 \leq 2 x \leq 10$

Divide each term in the inequality by $2$ .

$\frac{- 4}{2} \leq \frac{2 x}{2} \leq \frac{10}{2}$

Divide $- 4$ by $2$ .

$- 2 \leq \frac{2 x}{2} \leq \frac{10}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$- 2 \leq \frac{2 x}{2} \leq \frac{10}{2}$

Divide $x$ by $1$ .

$- 2 \leq x \leq \frac{10}{2}$

Divide $10$ by $2$ .

$- 2 \leq x \leq 5$

The result can be shown in multiple forms.

Inequality Form:

$- 2 \leq x \leq 5$

Interval Notation:

$[- 2, 5]$