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

Answer 1

To solve the equation, we need to isolate the variable x.

Given the equation: 2/5x + 4 = 1/5

First, we need to move the constant term (4) to the right side of the equation by subtracting 4 from both sides:

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

Simplifying:

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

Next, we need to find a common denominator for the fractions on the right side:

2/5x = -19/5

To get rid of the fraction, 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)

This simplifies to:

1x = -19/2

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