Question

|x-5|=3
Whats x? please help?

Answer 1

x = 8 or x = 2

Explanation:

We know x - 5 = 3 or x - 5 = -3.

Possibility 1:

Step 1: Add 5 to both sides.

• 
  `x-5+5=3+5`
• 
  `x=8`

Possibility 2:

Step 1: Add 5 to both sides.

• 
  `x-5+5=-3+5`
• 
  `x=2`

Step 2: Check if both solutions apply to original equation.

• 
  `|8-5|=3`
• 
  `|3|=3`
• 
  `3=3`
• 
  `|2-5|=3`
• 
  `|-3|=3`
• 
  `3=3`

Answer 2

Answer:
x = 8
x = 2

Explanation:

Separate into two equations:

x - 5 = 3
x - 5 = -3

Now solve:
x - 5 = 3
+ 5 +5
x = 8

x - 5 = -3
+ 5 + 5
x = 2



Hope this helps!