Solve for x 2x-8<7

$2 x - 8 < 7$

Step 1

Move all terms not containing $x$ to the right side of the inequality.

Add $8$ to both sides of the inequality.

$2 x < 7 + 8$

Add $7$ and $8$ .

$2 x < 15$

Step 2

Divide each term in $2 x < 15$ by $2$ and simplify.

Divide each term in $2 x < 15$ by $2$ .

$\frac{2 x}{2} < \frac{15}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{15}{2}$

Divide $x$ by $1$ .

$x < \frac{15}{2}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < \frac{15}{2}$

Interval Notation:

$(- \infty, \frac{15}{2})$