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

2.5/4-2x=1/6

1. To solve the equation 2/5x + 4 = 1/5, we can start by subtracting 4 from both sides:

2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5
2/5x = -19/5
Now, we can multiply both sides of the equation by 5/2 to isolate x:
(5/2)(2/5x) = (5/2)(-19/5)
1x = -19/2
Simplifying the right side gives us:
x = -19/2

2. To solve the equation 5/4 - 2x = 1/6, we can start by subtracting 5/4 from both sides:
5/4 - 2x - 5/4 = 1/6 - 5/4
-2x = 1/6 - 5/4
To find a common denominator, we can multiply 1/6 by 2/2 and 5/4 by 3/3:
-2x = 2/12 - 15/12
-2x = -13/12
Now, we can divide both sides of the equation by -2 to solve for x:
(-2x)/-2 = (-13/12) / -2
x = (13/12) / 2
Simplifying the right side gives us:
x = 13/24