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

Answer 1

To solve the equation 2/5 * x + 4 = 1/5, we need to isolate the variable x.

First, let's subtract 4 from both sides of the equation:

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

This simplifies to:

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

Next, we need to find a common denominator for the fractions on the right side of the equation, which is 5. Rewriting the equation:

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

Now, let's simplify the right side of the equation:

2/5 * x = -19/5

To get rid of the fraction on the left side of the equation, we can multiply both sides by 5:

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

This simplifies to:

2x = -19

Finally, to solve for x, divide both sides by 2:

(2x)/2 = -19/2

x = -19/2

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