Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we will use the steps below:

Step 1: Subtract 4 from both sides of the equation.
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 4

Step 2: Simplify the equation.
2/5x = 1/5 - 20/5
2/5x = -19/5

Step 3: Multiply both sides of the equation by the reciprocal of 2/5, which is 5/2.
(5/2)(2/5x) = (5/2)(-19/5)

The 2/5 on the left side of the equation cancels out.
1x = -19/2

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

Answer 2

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

To find the solution of the equation 2/5(x) + 4 = 1/5, follow these steps:

Step 1: Start by subtracting 4 from both sides of the equation to isolate the term with "x".

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

Simplifying, we get:
2/5(x) = 1/5 - 20/5

Step 2: Combine the fractions on the right side of the equation.

2/5(x) = -19/5

Step 3: To eliminate the fraction on the left side, multiply both sides of the equation by the reciprocal of 2/5, which is 5/2.

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

This simplifies to:
x = -19/2

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

Answer 3

[AI-generated answer — Explain Bot]

To find the solution of the equation: 2/5(x) + 4 = 1/5, we can start by simplifying the equation.

Step 1: To eliminate the fraction, we can multiply both sides of the equation by the common denominator, which is 5.
5 * (2/5(x) + 4) = 5 * (1/5)

This simplifies the equation to: 2(x) + 20 = 1

Step 2: Next, we need to isolate the variable x by subtracting 20 from both sides of the equation.
2(x) + 20 - 20 = 1 - 20

This simplifies the equation to: 2(x) = -19

Step 3: Now, divide both sides of the equation by 2 to solve for x.
2(x)/2 = -19/2

This simplifies the equation to: x = -19/2

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