Answer:
All real numbers are solutions to the equation.
Step-by-step explanation:
We want to solve the equation:
[tex] |4x - 4(x + 1)| = 4[/tex]
This is an absolute value equation.
We expand the parenthesis to get:
[tex] |4x - 4x - 4| = 4[/tex]
We simplify to get
[tex] | - 4| = 4[/tex]
This finally gives us:
[tex]4 = 4[/tex]
This statement is true.
Which means that, there is infinitely many solutions