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

Question

Responses

−38/25
negative Start Fraction 38 over 25 End Fraction

−2/19
negative Start Fraction 2 over 19 End Fraction

−19/2
negative Start Fraction 19 over 2 End Fraction

21/2

Answer 1

To find the solution of the equation 2/5x + 4 = 1/5, we can first subtract 4 from both sides to isolate the term with x:

2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5

Simplifying the right side by finding a common denominator:

2/5x = -19/5

To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

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

Therefore, the solution to the equation is x = -19/2 or -9.5.