
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
If the root of a linear equation is the solution of a system of linear inequalities, then the linear equation is called the "associated equation" of the inequality system. In the equations ① $5x-2=0$, ② $\frac{3}{4}x+1=0$, ③ $x-\left(3x+1\right)=-5$, the associated equation of the inequality system $\left\{\begin{array}{l}{2x-5>3x-8}\\{-4x+3<x-4}\end{array}\right.$ is ______.

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