The first step to solve the inequality x-5<x/6 is to simplify the equation by combining like terms.
x - 5 < x/6
Next, subtract x from both sides of the inequality to get all the x terms on one side.
-x - 5 < x/6 - x
-5 < x/6 - x
Simplify further,
-5 < (x - 6x)/6
-5 < -5x/6
Now, multiply both sides by 6 to get rid of the fraction.
-30 < -5x
Finally, divide both sides by -5 to solve for x.
6 > x
So, the solution to the inequality x-5<x/6 is x > 6.