Question

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

Answer 1

To solve for x, we 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.