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)

1 answer

First, let's simplify the equation you provided step-by-step:

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

  1. Combine like terms on both sides:
    • Left side: \( 3 + 24 = 27 \) and \( -15x + 16x = 1x \)

    • So, the left side simplifies to \( 27 + x \).

    • Right side: \( 4x - 4x = 0 \) and \( -24 \) remains as is.

    • The right side simplifies to \( -24 \).

Now the equation looks like: \[ 27 + x = -24 \]

  1. Next, isolate \(x\): To finish solving for \(x\), subtract 27 from both sides: \[ x = -24 - 27 \] \[ x = -51 \]

Thus, the next best step to finish solving after combining like terms would be to isolate \(x\) by subtracting 27 from both sides.