What is the solution of the equation 2/5x+4=1/5 ?(1 point)
Responses
−19/2
−38/25
−2/19
21/2
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.