Explanation:
The equation 6 = x - 2/4 can be solved for x by following these steps:
1. To begin, we want to isolate the variable x. To do this, we need to get rid of the -2/4 term on the right side of the equation.
2. We can achieve this by adding 2/4 to both sides of the equation. This will cancel out the -2/4 term on the right side.
3. After adding 2/4 to both sides, the equation becomes 6 + 2/4 = x - 2/4 + 2/4. Simplifying this, we get 6 + 2/4 = x.
4. Now, we can combine the terms on the left side of the equation. 6 is the same as 24/4, so the equation becomes 24/4 + 2/4 = x.
5. Adding the fractions on the left side, we get 26/4 = x.
6. Finally, we can simplify the fraction 26/4. Dividing both the numerator and the denominator by their greatest common divisor, which is 2, we get 13/2.
7. Therefore, the solution to the equation 6 = x - 2/4 is x = 13/2.
In summary, the solution to the equation 6 = x - 2/4 is x = 13/2.