Answer:
x = 6, x =2
Step-by-step explanation:
To solve this problem, you need to plug in 18 where it says f(x)
For example: f(x) = 3 |x - 2| + 6
18 = 3|x - 2| + 6
Next, you need to get rid of the 6 in order to balance the equation which means to subtract 6 from both sides. For example : 18-6 = 3|x - 2| + 6 - 6
That leaves us with 12 = 3|x - 2|. You need to divide both sides by 3.
For example: 12÷3 = 3|x - 2| ÷ 3
Then, you get 4 = |x - 2|. In order to get rid of the absolute value signs, you need to make 2 equations out of it. On the first equation, the signs of the integers stay the same while the second equation, flip the signs. Keep the answer next to the equal sign, the same sign. For example:
4 = |x - 2|
1. 4 = x - 2 or x - 2 = 4
2. 4 = -x + 2 or -x + 2 = 4
number 1 answer: add 2 from both sides of the equation. For example:
x-2 + 2 = 4 + 2. Then get rid of the -2 + 2 of the equation. You are left with x = 6
Number 2 answer: To solve this equation for x, you need to subtract 2 from both sides of the equation. For example: -x + 2-2 = 4-2. Then get rid of the 2-2 of the equation. You are left with -x = 2. The x variable can't be negative so you have to divide by -1 on both sides. The variable x equals to 1. For example: -x÷ -1 = 2÷-1. You are left with x = -2 as your answer. That's how you find your answer.
