
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Solve the equation: $2x-6=3x\left( x-3 \right)$. Xiao Ming solved it as follows: Factorize the left side of the equation to get $2(x-3)=3x\left( x-3 \right)$. In the first step, divide both sides of the equation by $\left( x-3 \right)$ to get $2=3x$. In the second step, solve to get $x=\frac{2}{3}$. Is Xiao Ming's solution correct? If not, write out the correct solution process.

Present the answer in LaTex format: \boxed{Your answer}
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