Five less than nine times a number is the same as nineteen more than the number

Step-by-step explanation:

The first thing you need to do is develop the equation. Less in this case means subtract.

On the left side you have

9 times a number which is 9*x

5 less than 9 times a number means 9x - 5

Now you shift to the right

x = 3

x + 19  What you get is

9x - 5 = x + 19        Subtract x from both sides of the equation

9x - x - 5 = 19        Combine both x terms on the left

8x - 5 = 19             Add 5 to both sides.

8x - 5 + 5 = 19 + 5 Combine terms

8x = 24                  Divide by 8

x = 24/8

x = 3

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11