Question

PLEASE HELP!

Which statement represents the simplified form of the given equation and correctly describes the solution?
5x - 4 = 1/5(5 + 20x)


A. x = 5; exactly one real solution
B. 5 = 5; infinite real solutions
C. x = 4; exactly one real solution
D. 4 ≠ 1; no real solution

Answer 1

A. exactly one real solution

Explanation:

5x - 4 = 1/5(5 + 20x)

5x - 4 = 1 + 4x - 1/5 times 5 = 1, and 1/5 times 20x = 4x

5x - 5 = 4x - subtract one from both sides

5x = 4x + 5 - add five to both sides

x = 5 - subtract 4x from both sides