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

a. 19/2

b. −19/2

c. −21/2

d. −38/25

1 answer

The solution to the equation can be found by isolating the variable x.

2/5x + 4 = 1/5

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

2/5x = 1/5 - 4

Simplifying the right side:

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

Combining the fractions:

2/5x = -19/5

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

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

The common factors cancel out:

x = -19/2

Therefore, the solution to the equation is: x = -19/2

The correct answer is: b. −19/2