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=0. The equation has one solution: x equals 0 . 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=1.
To solve for x, we will first distribute the 5 on the left side:
10x + 10 - 4 = 2x + 6
Combine like terms on the left side:
10x + 6 = 2x + 6
Subtract 2x from both sides:
8x + 6 = 6
Subtract 6 from both sides:
8x = 0
Divide by 8 on both sides:
x = 0
Therefore, the equation has one solution: x = 0.