What is the smallest value of $x$ such that $|5x - 1| = |3x + 2|$? Express your answer as a common fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the smallest value of $x$ such that $|5x - 1| = |3x + 2|$? Express your answer as a common fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-\frac{1}{8}
What is the smallest value of $x$ such that $|5x - 1| = |3x + 2|$? Express your answer as a common fraction.
train