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

Responses

−219
negative Start Fraction 2 over 19 End Fraction

−192
negative Start Fraction 19 over 2 End Fraction

212
Start Fraction 21 over 2 End Fraction

−3825

1 answer

To solve the equation 2/5x + 4 = 1/5, we can start by subtracting 4 from both sides to isolate the term with x. This gives us 2/5x = 1/5 - 4. Simplifying the right side, we get 2/5x = -19/5.

To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of the fraction, which in this case is 5/2. This gives us (5/2)(2/5x) = (5/2)(-19/5). Simplifying, we get 1x = -19/2.

The solution of the equation is x = -19/2, which can also be written as -9.5.

Therefore, the correct response is negative Start Fraction 19 over 2 End Fraction.
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