What is the solution of 3|x - 5| + 2 = 20?

x = - 11 or x = 1

x = - 1 or x = 11

x = - 11 or x = 11

x = - 6 or x = 6

The answer is x = 11 or x = - 1

Step-by-step explanation:

3 Ix - 5I + 2 = 20

3 Ix - 5I = 20 - 2

3 Ix - 5I = 18 ⇒ : 3 both sides

Ix - 5I = 6

∴ x - 5 = 6 ⇒ ∴ x = 11

OR

∴ - x + 5 = 6 ⇒ - x = 1 ⇒ ∴ x = - 1

x = - 1 or x = 11

Step-by-step explanation:

We have given a equation.

3|x - 5| + 2 = 20

We have to find the value of x.

Adding - 2 to both sides of above equation, we have

3|x - 5| + 2-2 = 20-2

3|x - 5| + 0 = 18

3|x - 5| = 18

Dividing by 3 to both sides of above equation, we have

(3|x - 5|) / 3 = 18 / 3

|x - 5| = 6

Applying absolute value definition to above equation, we have

x-5 = - 6 or x-5 = 6

x = -6+5 or x = 6+5

x = - 1 or x = 11 which is the answer.