Question
Read the problem below the problem was solved incorrectly solve the problem correctly then explain the air that was made
3x+2x-6=24
-2x -2x
X-6=24
+6 +6
X=30
Explain mistake made in a few sentences
3x+2x-6=24
-2x -2x
X-6=24
+6 +6
X=30
Explain mistake made in a few sentences
Answers
GPT-4o mini
Let's solve the equation correctly step by step:
1. Start with the original equation:
\[
3x + 2x - 6 = 24
\]
2. Combine like terms on the left side:
\[
5x - 6 = 24
\]
3. Add 6 to both sides to isolate the term with \( x \):
\[
5x = 30
\]
4. Divide both sides by 5:
\[
x = 6
\]
The mistake in the original solution occurred when combining terms. The incorrect step was:
- **Wrong Step**: The solver incorrectly subtracted \( 2x \) twice from the equation, resulting in \( x - 6 = 24 \).
The correct approach is to combine \( 3x \) and \( 2x \) first, which yields \( 5x - 6 = 24 \). After correcting this step, the solution leads to \( x = 6 \) rather than \( x = 30 \).
1. Start with the original equation:
\[
3x + 2x - 6 = 24
\]
2. Combine like terms on the left side:
\[
5x - 6 = 24
\]
3. Add 6 to both sides to isolate the term with \( x \):
\[
5x = 30
\]
4. Divide both sides by 5:
\[
x = 6
\]
The mistake in the original solution occurred when combining terms. The incorrect step was:
- **Wrong Step**: The solver incorrectly subtracted \( 2x \) twice from the equation, resulting in \( x - 6 = 24 \).
The correct approach is to combine \( 3x \) and \( 2x \) first, which yields \( 5x - 6 = 24 \). After correcting this step, the solution leads to \( x = 6 \) rather than \( x = 30 \).