Question

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

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.**