2/5x +4= 1/5

1 answer

To solve the equation 2/5x + 4 = 1/5, we first need to isolate x by getting rid of the constant term on the left side of the equation.

Subtracting 4 from both sides, we get:

2/5x = 1/5 - 4

Simplifying the right side:

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

2/5x = -19/5

Next, we need to multiply both sides of the equation by the reciprocal of 2/5 (which is 5/2) to solve for x:

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

Canceling out the common factors:

(1)x = -19/2

Therefore, the solution to the equation is:

x = -19/2 or -9.5