5(x – 9) = 5x

no solution
one solution
infinite solutions

–2(x – 1) = 2x – 2

infinite solutions
one solution
no solution

5 answers

Anyone?
5(x – 9) = 5x
5x - 45 = 5x
-45 = 0

If your variables drop out and you end up with a true statement, such as 4 = 4, there will be an infinite number of solutions.
If your variables drop out and you end up with a false statement, such as our -45 = 0, there will be no solution.

-2(x-10 = 2x - 2
-2x + 20 = 2x - 2
-4x = -22
x = 11/2, so ... one solution.
Oh. can you help me with one more?

–4 – 5(w + 8)

-5w – 44 ***
–5w + 36
–w – 8
–20w + 8

Am I correct?
correct
Thank you so much! :-)