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

Responses

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

21/2
Start Fraction 21 over 2 End Fraction

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

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

1 answer

To solve the equation 2/5x + 4 = 1/5, we can start by subtracting 4 from both sides:

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

This simplifies to:

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)

This gives us:

2x = -19

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

2x/2 = -19/2

x = -19/2

So the solution to the equation is negative Start Fraction 19 over 2 End Fraction.