Question

Question Solve for x to determine if the equation has one, none, or infinite solutions. 5(2x+2)−4=2x+6 (1 point) Responses The equation has one solution: x=1. The equation has one solution: x equals 1 . 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=0.

Answer 1

To solve this equation, first distribute the 5 on the left side:
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 by 8:
x = 0

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