Solve the Inequality for x 2x-7>3

$2 x - 7 > 3$

Step 1

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

Add $7$ to both sides of the inequality.

$2 x > 3 + 7$

Add $3$ and $7$ .

$2 x > 10$

Step 2

Divide each term in $2 x > 10$ by $2$ and simplify.

Divide each term in $2 x > 10$ by $2$ .

$\frac{2 x}{2} > \frac{10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{10}{2}$

Divide $x$ by $1$ .

$x > \frac{10}{2}$

Simplify the right side.

Divide $10$ by $2$ .

$x > 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 5$

Interval Notation:

$(5, \infty)$