Question

Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−7x=3x+6(1 point)
Responses

The equation has no solution.
The equation has no solution.

The equation has infinite solutions.
The equation has infinite solutions.

The equation has one solution: x=6.
The equation has one solution: , x equals 6, .

The equation has one solution: x=10.
The equation has one solution: , x equals 10, .

Answer 1

HUH?
10 x - 7 x - 3 x = 0 x
so
0 x = -4
there is no solution to that

Answer 2

Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−4=2x+6(1 point)

Answer 3

To solve for x, we need to simplify the equation first:

5(2x+2) - 7x = 3x + 6

Distribute the 5:

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

Combine like terms:

3x + 10 = 6

Subtract 10 from both sides:

3x = -4

Divide by 3:

x = -4/3

Therefore, the equation has one solution: x = -4/3.