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

1 answer

To solve the equation, we'll first isolate x.

Subtract 4 from both sides to eliminate it on the left side of the equation:
(2/5)x + 4 - 4 = 1/5 - 4
(2/5)x = 1/5 - 20/5
(2/5)x = -19/5

Now, to eliminate the fraction, we'll multiply both sides by the reciprocal of the coefficient of x, which is (5/2):
(5/2)(2/5)x = (5/2)(-19/5)
x = -19/2

Therefore, the solution to the equation is x = -19/2.