Solve for x 5<3x-4<14

$5 < 3 x - 4 < 14$

Step 1

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

Add $4$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$5 + 4 < 3 x < 14 + 4$

Add $5$ and $4$ .

$9 < 3 x < 14 + 4$

Add $14$ and $4$ .

$9 < 3 x < 18$

Step 2

Divide each term in the inequality by $3$ .

$\frac{9}{3} < \frac{3 x}{3} < \frac{18}{3}$

Step 3

Divide $9$ by $3$ .

$3 < \frac{3 x}{3} < \frac{18}{3}$

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

$3 < \frac{3 x}{3} < \frac{18}{3}$

Divide $x$ by $1$ .

$3 < x < \frac{18}{3}$

Step 5

Divide $18$ by $3$ .

$3 < x < 6$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$3 < x < 6$

Interval Notation:

$(3, 6)$

Step 7