What is the solution of the equation of the 2/5x + 4 = 1/5

Question

-38/25
-2/19
21/2
-19/2

Answer 1

To solve the equation 2/5x + 4 = 1/5, we need to isolate x.

First, we subtract 4 from both sides of the equation:

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

Next, we simplify the right side of the equation:

2/5x = 1/5 - 20/5
2/5x = -19/5

To isolate x, we multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

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

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