Question

11. 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.

Add x to both sides of the equation.
Add x to both sides of the equation.

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

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

Subtract 27 from both sides of the equation.

Answer 1

Let's first simplify the given equation step by step:

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

2. Combine like terms on both sides:
- Left side: \(3 + 24 = 27\) and \(-15x + 16x = 1x\)
- Right side: \(4x - 4x = 0\) and \(-24\) remains as it is.

The equation simplifies to:
\[
27 + x = -24
\]

3. Now, to isolate \(x\), the next best step is to subtract 27 from both sides of the equation:
\[
x = -24 - 27
\]

Given these steps, the most appropriate choice from your options is:

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