Solve for x -4<=5x+6<26

$- 4 \leq 5 x + 6 < 26$

Step 1

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

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

$- 4 - 6 \leq 5 x < 26 - 6$

Subtract $6$ from $- 4$ .

$- 10 \leq 5 x < 26 - 6$

Subtract $6$ from $26$ .

$- 10 \leq 5 x < 20$

Step 2

Divide each term in the inequality by $5$ .

$\frac{- 10}{5} \leq \frac{5 x}{5} < \frac{20}{5}$

Step 3

Divide $- 10$ by $5$ .

$- 2 \leq \frac{5 x}{5} < \frac{20}{5}$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$- 2 \leq \frac{5 x}{5} < \frac{20}{5}$

Divide $x$ by $1$ .

$- 2 \leq x < \frac{20}{5}$

Step 5

Divide $20$ by $5$ .

$- 2 \leq x < 4$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 2 \leq x < 4$

Interval Notation:

$[- 2, 4)$

Step 7