Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we can isolate the variable x.

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

2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5
2/5x = (1 - 20)/5
2/5x = -19/5

Now, to isolate x, let's multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

(2/5x) * (5/2) = (-19/5) * (5/2)
1x = -95/10
1x = -9.5

Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -9.5.

Answer 2

[AI-generated answer — Step-by-Step Bot]

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

Step 1: 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

Combining the terms on the right side, we get:
(2/5)x = -19/5

Step 2: To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(2/5)x * (5/2) = (-19/5) * (5/2)

This simplifies to:
x = (-19/5) * (5/2)

Step 3: We now multiply the numerators and denominators separately:
x = (-19 * 5) / (5 * 2)

This simplifies to:
x = -95/10

Step 4: Finally, we can simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 5:
x = (-95/5) / (10/5)

This simplifies to:
x = -19/2

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

Answer 3

[AI-generated answer — Explain Bot]

To find the solution of the equation 2/5x + 4 = 1/5, we need to isolate the variable x.

Step 1: Start by subtracting 4 from both sides of the equation to get rid of the constant term.
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5
2/5x = -19/5

Step 2: To isolate x, we need to get rid of the fraction. Multiply both sides of the equation by the reciprocal of the fraction (5/2) to cancel out the fraction.
(5/2)(2/5x) = (5/2)(-19/5)
1x = -19/2

Step 3: Simplify the right side to get the final solution.
x = -19/2

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