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

Question

Responses

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

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

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

21/2

Answer 1

To find the solution of the equation, we need to isolate x.

First, subtract 4 from both sides of the equation:
2/5x = 1/5 - 4

Next, simplify the right side of the equation:
2/5x = 1/5 - 20/5

Combining the fractions on the right side:
2/5x = -19/5

To solve for x, we need to get rid of the fraction. We can do this by multiplying both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)(2/5x) = (5/2)(-19/5)

Simplifying the left side of the equation:
1x = -19/2

So, the solution to the equation is:
x = -19/2 or -9.5