Step 1: Isolate the absolute value by subtracting 3/4 13/4 5 from both sides of the equation.

Step 2: Represent the negative case by rewriting the absolute value equation as:
5 – x = -13/4 13/4 -5/2 5/2

Step 3: Represent the positive case by rewriting the absolute value equation as:
5 - x = 13/4 5 - x = -5/2 5 - x = 5/2>

Step 4: Isolate the variable term by subtracting this value from both sides of the negative case equation:
5 5/2

Step 5: Solve the positive case equation.
x = -5/2 5/2 -15/2 15/2