What is the solution of the equation 2/5x+4=1/5 ?(1 point)

Question

Responses

−19/2

−38/25

−2/19

21/2

Answer 1

To find the solution of the equation 2/5x + 4 = 1/5, we need to isolate the variable x.

First, we can start by subtracting 4 from both sides of the equation:

2/5x + 4 - 4 = 1/5 - 4

This simplifies to:

2/5x = -19/5

Next, we need to get rid of the fraction 2/5 by multiplying both sides of the equation by its reciprocal (5/2):

(5/2)(2/5x) = (5/2)(-19/5)

This simplifies to:

x = -19/2

Therefore, the solution to the equation 2/5x + 4 = 1/5 is -19/2.