Answer:
To find the input (value of x) for which the output is 20, we need to solve the given equation: -3 + 5x = 4x - 5.
Let's solve this equation step by step:
-3 + 5x = 4x - 5
To isolate the x terms on one side, we can subtract 4x from both sides:
-3 + 5x - 4x = 4x - 4x - 5
Simplifying:
x - 3 = -5
Now, to isolate x, we can add 3 to both sides:
x - 3 + 3 = -5 + 3
Simplifying:
x = -2
Therefore, the input (value of x) for which the output is 20 is x = -2.
None of the options provided (A. 55, B. -15, C. -5, D. 35) match the solution x = -2. It seems that the given options do not include the correct answer. I recommend discussing this discrepancy with your teacher or referring to the textbook/materials for further clarification.