Solve the Inequality for x x-6>21-8x

$x - 6 > 21 - 8 x$

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

Add $8 x$ to both sides of the inequality.

$x - 6 + 8 x > 21$

Add $x$ and $8 x$ .

$9 x - 6 > 21$

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

Add $6$ to both sides of the inequality.

$9 x > 21 + 6$

Add $21$ and $6$ .

$9 x > 27$

Divide each term in $9 x > 27$ by $9$ and simplify.

Divide each term in $9 x > 27$ by $9$ .

$\frac{9 x}{9} > \frac{27}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} > \frac{27}{9}$

Divide $x$ by $1$ .

$x > \frac{27}{9}$

Simplify the right side.

Divide $27$ by $9$ .

$x > 3$

The result can be shown in multiple forms.

Inequality Form:

$x > 3$

Interval Notation:

$(3, \infty)$