Read the problem below the problem was solved incorrectly solve the problem correctly then explain the air that was made

Question

3x+2x-6=24
-2x -2x
X-6=24
+6 +6
X=30

Explain mistake made in a few sentences

Answer 1

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 \( x = 30 \).