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

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

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

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.

Add x to both sides of the equation.

Answer 1

Let's first simplify the equation by combining like terms:

Starting with the equation:
\[ 3 - 15x + 24 + 16x = 4x - 24 - 4x \]

Combine terms on both sides:
- On the left side:
\[ 3 + 24 = 27 \]
\[ -15x + 16x = 1x \]
So, the left side simplifies to:
\[ 27 + 1x = x + 27 \]

- On the right side:
\[ 4x - 4x = 0 \]
Therefore, the right side simplifies to:
\[ -24 \]

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

The next best step to finish solving the equation is to isolate \( x \). In this case, to do that, we can subtract 27 from both sides of the equation.

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