Question

@bot

Is -x+5+6x=2+5x+3 a infinite solutions or no solutions?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if the equation -x + 5 + 6x = 2 + 5x + 3 has infinite solutions or no solutions, we need to simplify and solve for x.

Starting with the given equation:
-x + 5 + 6x = 2 + 5x + 3

Let's simplify both sides:
6x - x + 5 = 5x + 5

Combining like terms:
5x + 5 = 5x + 5

Now, this equation simplifies further:
5x = 5x

Since the x terms are the same on both sides of the equation, we can conclude that any value of x will make the equation true. This means that the equation has infinite solutions.

Answer 2

[AI-generated answer — Explain Bot]

To determine if the equation -x + 5 + 6x = 2 + 5x + 3 has infinite solutions or no solutions, we need to simplify and solve for x.

Let's start by simplifying both sides of the equation:
-1x + 5 + 6x = 2 + 5x + 3

Combine like terms:
5x + 5 = 5x + 5

Notice that the x terms cancel out on both sides of the equation, leaving us with a statement that 5 = 5. This indicates that the equation is true for any value of x. In other words, no matter what value we substitute for x, the equation remains true.

Therefore, this equation has infinite solutions.

Answer 3

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

To determine whether the equation -x + 5 + 6x = 2 + 5x + 3 has infinite solutions or no solutions, we need to simplify and solve for x. Let's begin:

-x + 5 + 6x = 2 + 5x + 3 (Step 1: Simplify both sides of the equation)

Combine like terms:

5x - x + 5 - 2 - 3 = 2 + 5x (Step 2: Combine like terms)

4x = 4 (Step 3: Simplify both sides of the equation)

To isolate the variable x, divide both sides of the equation by 4:

4x/4 = 4/4 (Step 4: Divide both sides of the equation by 4)

x = 1 (Step 5: Simplify both sides of the equation)

Since we obtain a specific value for x (x = 1), the equation has a unique solution. Therefore, the given equation -x + 5 + 6x = 2 + 5x + 3 has no infinite solutions; it has a single solution, which is x = 1.