Let's solve the equation step by step:
6(2x+4) - 24 = 12x
Distribute 6 to both terms in the parentheses:
12x + 24 - 24 = 12x
The 24 and -24 cancel out:
12x = 12x
This equation is an identity because both sides are equal regardless of the value of x. Therefore, the equation has infinite solutions. The answer is D.
Solve for x to determine if the equation has one, none, or infinite solutions.
6(2x+4)−24=12x
A. The equation has one solution: x=0.
B. The equation has no solution.
C. The equation has one solution: x=−20.
D. The equation has infinite solutions.
1 answer