Question

Solve for x to determine if the equation has one, none, or infinite solutions.

5(2x+2)−7x=3x+6(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, distribute the 5 and 6 to simplify the equation:

10x + 10 - 7x = 3x + 6

Combine like terms:

3x + 10 = 3x + 6

Subtract 3x from both sides:

10 = 6

Since this equation is a contradiction (10 does not equal 6), there is no solution.

Answer 2

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

To solve for x in the equation 5(2x+2)−7x=3x+6, we will follow these steps:

Step 1: Distribute the 5 on the left side of the equation:
10x + 10 - 7x = 3x + 6

Simplifying, we have:
3x + 10 = 3x + 6

Step 2: Subtract 3x from both sides of the equation:
3x - 3x + 10 = 3x - 3x + 6

Simplifying further:
10 = 6

Step 3: Observe the result of the equation.

In this case, we have reached an inconsistency. The equation 10 = 6 is false, which means there are no solutions that satisfy the given equation.

Therefore, the equation has no solution.