Solve :
`(2x)/(3)-(3x)/(8)=(7)/(12)`

Answer

To solve the equation \(\frac{2x}{3} - \frac{3x}{8} = \frac{7}{12}\), we will follow these steps:

### Step 1: Find the Least Common Multiple (LCM)
First, we need to find the LCM of the denominators 3, 8, and 12.
- The LCM of 3 and 8 is 24.
- The LCM of 24 and 12 is still 24.

### Step 2: Rewrite the Equation
Now, we will rewrite each term with the common denominator of 24:
\[ \frac{2x}{3} = \frac{2x \cdot 8}{3 \cdot 8} = \frac{16x}{24} \]
\[ \frac{3x}{8} = \frac{3x \cdot 3}{8 \cdot 3} = \frac{9x}{24} \]
\[ \frac{7}{12} = \frac{7 \cdot 2}{12 \cdot 2} = \frac{14}{24} \]

So, the equation becomes:
\[ \frac{16x}{24} - \frac{9x}{24} = \frac{14}{24} \]

### Step 3: Combine the Left Side
Now, we can combine the left side of the equation:
\[ \frac{16x - 9x}{24} = \frac{14}{24} \]
This simplifies to:
\[ \frac{7x}{24} = \frac{14}{24} \]

### Step 4: Eliminate the Denominator
To eliminate the denominator, we can multiply both sides of the equation by 24:
\[ 7x = 14 \]

### Step 5: Solve for \(x\)
Now, divide both sides by 7:
\[ x = \frac{14}{7} \]
This simplifies to:
\[ x = 2 \]

### Final Answer
Thus, the solution to the equation is:
\[ \boxed{2} \]