Question

What is the solution to the equation 5(x + 4) = 5x – 3?
A. x = –3
B. x = 20
C. There is no solution.
D. There are infinitely many solutions.

Answer 1

$5(x+4)=5x-3\\5x+20=5x-3\\5x+20-5x+3=0\\0+23=0\\23=0$

So the answer is C. There is no solution, because the equation is false

A and B choices both have the answer, the value of x.

D choice only when the equation is true like 2=2.

Answer 2

Answer: C, there is no solution

Step-by-step explanation:

First you want to distribute on the left side of the equation. 5(x+4) = 5x - 3 when distributed becomes 5x + 20 = 5x - 3. Next you want to get rid of the variable on one side, but since its the same, when you subtract 5x from both sides you get 20 = -3, which is not equal, meaning there is no solution.