Question

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

Answer 1

To solve the equation 2/5x + 4 = 1/5, we can first subtract 4 from both sides to isolate the term with x.

2/5x = 1/5 - 4

Next, we simplify the right side of the equation.

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

Now, we have a common denominator of 5, so we can combine the fractions on the right side.

2/5x = -19/5

To solve for x, we can multiply both sides of the equation by the reciprocal of the coefficient of x (which is 5/2).

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

The 5/2 and 2/5 cancel out on the left side, leaving us with:

x = -19/2

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