To solve for the value of x when the difference between x and 6 is 5, we can set up the equation based on the information provided.
The difference between x and 6 can be expressed mathematically as:
|x – 6| = 5
This absolute value equation can be split into two separate cases:
- Case 1: x – 6 = 5
- Case 2: 6 – x = 5
Now, let’s solve each case:
- For Case 1:
- Add 6 to both sides:
- x = 5 + 6
- x = 11
- For Case 2:
- Subtract 6 from both sides:
- -x = 5 – 6
- -x = -1
- Multiply by -1:
- x = 1
Thus, the two possible solutions for x are 11 and 1.
In conclusion, the values of x that satisfy the original condition are x = 11 and x = 1.