Solve the Inequality for x 8x-6>12+2x

$8 x - 6 > 12 + 2 x$

Move all terms containing $x$ to the left side of the inequality.

Subtract $2 x$ from both sides of the inequality.

$8 x - 6 - 2 x > 12$

Subtract $2 x$ from $8 x$ .

$6 x - 6 > 12$

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

Add $6$ to both sides of the inequality.

$6 x > 12 + 6$

Add $12$ and $6$ .

$6 x > 18$

Divide each term in $6 x > 18$ by $6$ and simplify.

Divide each term in $6 x > 18$ by $6$ .

$\frac{6 x}{6} > \frac{18}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} > \frac{18}{6}$

Divide $x$ by $1$ .

$x > \frac{18}{6}$

Simplify the right side.

Divide $18$ by $6$ .

$x > 3$

The result can be shown in multiple forms.

Inequality Form:

$x > 3$

Interval Notation:

$(3, \infty)$