Question

How many solutions -4(x+5)=-4x-20

Answer 1

Answer:

Infinite number of solutions.  The equations and answers are the same no matter what number x you plug in.  

Step-by-step explanation:

-4(x + 5) = -4x - 20

-4x - 20 = -4x - 20

0 = 0

Answer 2

$\text{Hello there! :)}$

$\large\boxed{\text{Infinite solutions.}}$

$-4(x + 5) = -4x - 20\\\\\text{Simplify:}\\\\-4(x) -4(5) = -4x - 20\\\\-4x - 20 = -4x - 20\\\\\\\\\text{Add 4x to both sides:}\\\\-4x + 4x - 20 = -4x + 4x - 20\\\\-20 = -20\\\\\text{Both sides of the equal sign are the same, so:}\\\\\\\text{Infinite solutions.}$