To solve the equation "one fourth of a number x minus 4 gives 4", we need to follow a step-by-step approach. Let's break it down:

Step 1: Understand the problem
The problem states that one-fourth of a number x, when subtracted by 4, results in 4.

Step 2: Translate the problem into an equation
To represent the problem mathematically, we can write the equation as:
1/4 * x - 4 = 4

Step 3: Solve the equation
To solve the equation, we need to isolate the variable x on one side of the equation.

First, we can simplify the equation by multiplying both sides by 4 to eliminate the fraction:
4 * (1/4 * x - 4) = 4 * 4
x - 16 = 16

Next, we can isolate the variable x by moving the constant term (-16) to the other side of the equation:
x = 16 + 16
x = 32

Therefore, the solution to the equation is x = 32.

Explanation:
The equation "one fourth of a number x minus 4 gives 4" can be translated into the equation 1/4 * x - 4 = 4. By solving this equation, we find that the value of x is 32.

Step 1: Understand the problem
Step 2: Translate the problem into an equation
Step 3: Solve the equation