given: 4x+8 over 2 equals 9

prove: x= 5 over 2

(4x+8)/2 = 9 ----> x = 5/2

2x + 4 = 9

Subtract 4 from both sides, then divide both sides by 2.

To prove that x = 5/2 when given (4x + 8) / 2 = 9, we can solve the equation step by step. Here's how we can do it:

Step 1: Start with the given equation:
(4x + 8) / 2 = 9

Step 2: Simplify the left side by dividing both the numerator and denominator of the fraction by 2:
(4x + 8) / 2 = 9
(2x + 4) = 9

Step 3: Subtract 4 from both sides of the equation to isolate the variable:
(2x + 4) - 4 = 9 - 4
2x = 5

Step 4: Divide both sides of the equation by 2 to solve for x:
2x / 2 = 5 / 2
x = 5 / 2

Therefore, we have proved that x = 5/2 when given (4x + 8) / 2 = 9.