Solve the Inequality for x -2+6x>34

$- 2 + 6 x > 34$

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

Add $2$ to both sides of the inequality.

$6 x > 34 + 2$

Add $34$ and $2$ .

$6 x > 36$

Divide each term in $6 x > 36$ by $6$ and simplify.

Divide each term in $6 x > 36$ by $6$ .

$\frac{6 x}{6} > \frac{36}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} > \frac{36}{6}$

Divide $x$ by $1$ .

$x > \frac{36}{6}$

Simplify the right side.

Divide $36$ by $6$ .

$x > 6$

The result can be shown in multiple forms.

Inequality Form:

$x > 6$

Interval Notation:

$(6, \infty)$