The value of x is -20. This is determined by solving a system of three equations representing the differences between expressions A, B, and C, yielding x = -20.
Let's set up and solve a system of equations based on the given information:
Let X be the common factor in the expressions A, B, and C.
1. A - B = 4x + 8
2. B - C = 6x
3. C - A = 3x + 12
Now, let's solve the system of equations:
1. A - B = 4x + 8:
Expand and simplify: A - B = 4x + 8
2. B - C = 6x:
Expand and simplify: B - C = 6x
3. C - A = 3x + 12:
Expand and simplify: C - A = 3x + 12
Now, let's solve the system. Adding equations 1 and 3:
(A - B) + (C - A) = (4x + 8) + (3x + 12)
-B + C = 7x + 20
Now, let's substitute this into equation 2:
-B + C = 6x
(7x + 20) = 6x
x = -20
So, the value of x is -20.
The probable question may be:
Find X?
Given: A-B: 4x + 8
B-C: 6x
C-A: 3x + 12