Graph x+5x-6<12

$x + 5 x - 6 < 12$

Step 1

Add $x$ and $5 x$ .

$6 x - 6 < 12$

Step 2

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 $6$ .

$6 x < 18$

Step 3

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 $6$ .

$x < 3$

Step 4