Solve for x 7x+2>30

$7 x + 2 > 30$

Step 1

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

Subtract $2$ from both sides of the inequality.

$7 x > 30 - 2$

Subtract $2$ from $30$ .

$7 x > 28$

Step 2

Divide each term in $7 x > 28$ by $7$ and simplify.

Divide each term in $7 x > 28$ by $7$ .

$\frac{7 x}{7} > \frac{28}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} > \frac{28}{7}$

Divide $x$ by $1$ .

$x > \frac{28}{7}$

Simplify the right side.

Divide $28$ by $7$ .

$x > 4$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 4$

Interval Notation:

$(4, \infty)$