Solve the Inequality for x 8x>x+2

$8 x > x + 2$

Step 1

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

Subtract $x$ from both sides of the inequality.

$8 x - x > 2$

Subtract $x$ from $8 x$ .

$7 x > 2$

Step 2

Divide each term in $7 x > 2$ by $7$ and simplify.

Divide each term in $7 x > 2$ by $7$ .

$\frac{7 x}{7} > \frac{2}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} > \frac{2}{7}$

Divide $x$ by $1$ .

$x > \frac{2}{7}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > \frac{2}{7}$

Interval Notation:

$(\frac{2}{7}, \infty)$