Question

After combining like terms to simplify the equation 3−15x+24+16x=4x−24−4x
, what would be the next best step to finish solving?(1 point)
Responses

Divide both sides of the equation by 15.
Divide both sides of the equation by 15.

Subtract 24 from both sides of the equation.
Subtract 24 from both sides of the equation.

Subtract 27 from both sides of the equation.
Subtract 27 from both sides of the equation.

Subtract x from both sides of the equation.
Subtract x from both sides of the equation.

Add x to both sides of the equation.

Answer 1

To simplify the equation \( 3 - 15x + 24 + 16x = 4x - 24 - 4x \), we can first combine like terms on both sides:

On the left side:
\[
3 + 24 = 27 \quad \text{and} \quad -15x + 16x = x
\]
So, the left side simplifies to \( 27 + x \).

On the right side:
\[
4x - 4x = 0 \quad \text{and} \quad -24 \text{ remains as is.}
\]
So, the right side simplifies to \( -24 \).

Now the equation is:
\[
27 + x = -24
\]

Next, to isolate \( x \), you would want to eliminate the constant on the left side. The best next step would be to **subtract 27 from both sides of the equation**.

So, the correct response is:
**Subtract 27 from both sides of the equation.**