Solve for x 3

$3 < 2 x - 3 < 15$

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

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

$3 + 3 < 2 x < 15 + 3$

Add $3$ and $3$ .

$6 < 2 x < 15 + 3$

Add $15$ and $3$ .

$6 < 2 x < 18$

Divide each term in the inequality by $2$ .

$\frac{6}{2} < \frac{2 x}{2} < \frac{18}{2}$

Divide $6$ by $2$ .

$3 < \frac{2 x}{2} < \frac{18}{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$3 < \frac{2 x}{2} < \frac{18}{2}$

Divide $x$ by $1$ .

$3 < x < \frac{18}{2}$

Divide $18$ by $2$ .

$3 < x < 9$

Solve for x 3<2x-3<15

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