3(4x+8)=4(3x+6)

Question

Does this question have one solution, infinite solutions, or no solution? Please show your math.

Answer 1

To determine if this equation has one solution, infinite solutions, or no solution, we need to simplify and solve for x.

First, distribute the numbers inside the parentheses.
12x + 24 = 12x + 24

Next, simplify both sides of the equation.
12x + 24 = 12x + 24

Now, subtract 12x from both sides of the equation.
24 = 24

Since both sides are equal, this equation has infinite solutions.

Therefore, the equation 3(4x+8)=4(3x+6) has infinite solutions.