A rational number is such that when you multiply it by `5/2 and 2/3` add to the product, you get ` -7/(12).` What is the number ?

Explanation

To solve the problem step by step, let's denote the rational number as \( x \).

### Step 1: Set up the equation
According to the problem, when you multiply the rational number \( x \) by \( \frac{5}{2} \) and then add \( \frac{2}{3} \) to the product, you get \( -\frac{7}{12} \). This can be expressed mathematically as:
\[ \frac{5}{2}x + \frac{2}{3} = -\frac{7}{12} \]

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