6(2x+4) - 24= 12x

Question

How many solutions does this equation have?? I needa check my answer

Answer 1

Let's solve the equation step by step to determine how many solutions it has:

Given the equation: $$6(2x+4)-24=12x$$

1. Distribute $6$ on the left side: $$12x+24-24=12x$$

2. Simplify the left side: $$12x=12x$$

Now, the equation simplifies to: $$12x=12x$$

This statement is always true for any value of $x$. Therefore, the equation has infinitely many solutions since any $x$ will satisfy the equation.

In conclusion, how many solutions does the equation have? Infinitely many solutions.