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

1 answer

To solve the equation 2/5x + 4 = 1/5, we need to isolate the variable x by subtracting 4 from both sides:

2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5

Now, we need to find a common denominator for 1/5 and 20/5, which is 5:

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

Finally, to solve for x, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

(5/2)(2/5x) = (5/2)(-19/5)
1x = -19/2

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