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

Question

The equation has no solution.

The equation has one solution: x = 0

The equation has one solution: x = 1

The equation has infinite solutions.

Answer 1

To solve for a, we will simplify the given equation:

5(2x + 2) - 4 = 2x + 6

Distribute the 5:

10x + 10 - 4 = 2x + 6

Combine like terms:

10x + 6 = 2x + 6

Subtract 2x from both sides:

8x + 6 = 6

Subtract 6 from both sides:

8x = 0

Divide both sides by 8:

x = 0

Therefore, the equation has one solution: x = 0.