What is the solution of the equation 2/5x+4=1/5 ?(1 point) Responses −19/2 negative Start Fraction 19 over 2 End Fraction 212 Start Fraction 21 over 2 End Fraction −38/25 negative Start Fraction 38 over 25 End Fraction −2/19 negative Start Fraction 2 over 19 End Fraction

Answer 1

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

2/5x = 1/5 - 4

Simplifying:

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

2/5x = -19/5

Next, we can multiply both sides by 5 to get rid of the fraction:

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

2x = -19

Finally, divide both sides by 2 to solve for x:

x = -19/2

The solution to the equation is x = -19/2. So, the correct response is: −19/2 (negative Start Fraction 19 over 2 End Fraction).