
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
Let $[x]$ and $\{x\}$ be the integer and fractional parts of the number $x$. The integer part of $x$ is the greatest integer that does not exceed $x$, and $\{x\} = x - [x]$. Find $x$ if $2x + 3[x] - 5\{x\} = 4$.

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