solve for x to determine if the if the equation has one none or infinite solutions

Question

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

Answer 1

To determine the number of solutions for the equation \(6(2x + 4) - 24 = 12x\), we will first simplify both sides.

1. Distribute on the left side:

\[ 6(2x + 4) = 12x + 24 \]

2. Substitute that back into the equation:

\[ 12x + 24 - 24 = 12x \]

3. Simplify:

\[ 12x = 12x \]

This equation simplifies to \(12x = 12x\), which is always true.

Since the equation holds for all values of \(x\), we can conclude that there are infinite solutions.

Answer 2

solve for x to determine if the if the equation has one none or infinite solutions
9(x+1)=3(5x+1)-12

Answer 3

To determine the number of solutions for the equation \(9(x + 1) = 3(5x + 1) - 12\), we will first simplify both sides of the equation.

1. Distribute on both sides:

\[ 9x + 9 = 15x + 3 - 12 \]

2. Simplify the right side:

\[ 9x + 9 = 15x - 9 \]

3. Next, we will move all terms involving \(x\) to one side and the constant terms to the other side. Let's subtract \(15x\) from both sides:

\[ 9x - 15x + 9 = -9 \]

This simplifies to:

\[ -6x + 9 = -9 \]

4. Now, subtract 9 from both sides:

\[ -6x = -9 - 9 \]

This simplifies to:

\[ -6x = -18 \]

5. Finally, divide by \(-6\):

\[ x = 3 \]

We found a single value for \(x\). Therefore, the equation has one solution:

\[ \boxed{3} \]

Answer 4

what is the solution

Answer 5

The solution to the equation \(9(x + 1) = 3(5x + 1) - 12\) is:

\[ x = 3 \]

This was determined by simplifying the equation step by step, which resulted in a single unique solution.