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

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

Subtract x from both sides of the equation

Answer 1

Let's first simplify the given equation:

\( 3 - 15x + 24 + 16x = 4x - 24 - 4x \)

Combining like terms on both sides:

On the left side:
- Combine the constants: \(3 + 24 = 27\)
- Combine the x terms: \(-15x + 16x = 1x\) (or just \(x\))

So the left side simplifies to:
\(x + 27\)

On the right side:
- Combine the terms with x: \(4x - 4x = 0\)
- The right side simplifies to: \(-24\)

Thus the equation now looks like:
\(x + 27 = -24\)

Now we can determine the next best step to solve for \(x\).

To isolate \(x\), you would need to subtract \(27\) from both sides of the equation.

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