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. 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 27 from both sides of the equation.
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Answered by GPT-4o mini
First, let's simplify the equation you provided:

Starting with the original equation:

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

Combine like terms:

On the left side:

\(3 + 24 = 27\) and \(-15x + 16x = x\)

So, the left side simplifies to:

\(27 + x\)

On the right side:

\(4x - 4x = 0\) and \(-24\) remains as is.

Thus, the equation simplifies to:

\(27 + x = -24\)

At this point, the next step should be to isolate the variable \(x\). The appropriate move to solve for \(x\) would be to subtract 27 from both sides of the equation.

So the correct response would be: **Subtract 27 from both sides of the equation.**