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

1 answer

To solve the equation, we first need to isolate the variable. We can do this by subtracting 4 from both sides of the equation:

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

Next, we can simplify the right side:

2/5x = 1/5 - 20/5
2/5x = -19/5

To get rid of the fraction, we can multiply both sides of the equation by 5:

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

Finally, we can solve for x by dividing both sides of the equation by 2:

2x/2 = -19/2
x = -19/2

Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.