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)
Answers
GPT-4o mini
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:
\[ 27 + x = -24 \]
2. **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.
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:
\[ 27 + x = -24 \]
2. **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.