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)ResponsesSubtract 27 from both sides of the equation.Subtract 27 from both sides of the equation.Subtract 24 from both sides of the equation. Subtract 24 from both sides of the equation. Subtract x from both sides of the equation.Subtract x from both sides of the equation.Divide both sides of the equation by 15.Divide both sides of the equation by 15.Add x to both sides of the equation.

Answer 1

Let's simplify the given equation step by step:

The original equation is:
\[ 3 - 15x + 24 + 16x = 4x - 24 - 4x. \]

First, combine like terms on both sides:

On the left side:
\[ 3 + 24 = 27 \]
and
\[ -15x + 16x = 1x \]
So, the left side simplifies to:
\[ 27 + 1x, \text{ or simply } x + 27. \]

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

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

To solve for \( x \), we need to isolate it. The next best step is to subtract 27 from both sides:

\[ x + 27 - 27 = -24 - 27. \]

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