Solve the Inequality for x 6<6(-2+x)

$6 < 6 (- 2 + x)$

Rewrite so $x$ is on the left side of the inequality.

$6 (- 2 + x) > 6$

Divide each term in $6 (- 2 + x) > 6$ by $6$ and simplify.

Divide each term in $6 (- 2 + x) > 6$ by $6$ .

$\frac{6 (- 2 + x)}{6} > \frac{6}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 (- 2 + x)}{6} > \frac{6}{6}$

Divide $- 2 + x$ by $1$ .

$- 2 + x > \frac{6}{6}$

Simplify the right side.

Divide $6$ by $6$ .

$- 2 + x > 1$

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

Add $2$ to both sides of the inequality.

$x > 1 + 2$

Add $1$ and $2$ .

$x > 3$

The result can be shown in multiple forms.

Inequality Form:

$x > 3$

Interval Notation:

$(3, \infty)$