
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 $2\left(x-3\right)=3x\left(x-3\right)$... Step 1 

Divide both sides of the equation by $\left(x-3\right)$ to get $2=3x$... Step 2 

Therefore, $x= \dfrac{2}{3}$... Step 3 

(1) Xiao Ming made a mistake starting from step ____. 

(2) Write down the correct solution process.

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