Hi there!
Let's solve this equation step by step!
[tex]3x - 8 = - x + 4(x - 2)[/tex]
First work out the parenthesis on the left side. This can for instance be done using rainbow technique.
[tex]3x - 8 = - x + 4x - 8[/tex]
Collect the terms on the left
(add 4x to -x).
[tex]3x - 8 = 3x - 8[/tex]
Now we can see that we have two identical expressions. Therefore, it doesn't matter what value of x you plug into the equation, the equation will always be true. Hence, the answer is D. [the equation has] infinitely many [solutions].
~ Hope this helps you!
