Solve :
`(9x+7)/(2)-(x-(x-2)/(7))=36`

Answer

To solve the equation \((9x + 7)/2 - (x - (x - 2)/7) = 36\), we will follow these steps:

### Step 1: Simplify the equation
Start by rewriting the equation:
\[ \frac{9x + 7}{2} - \left( x - \frac{x - 2}{7} \right) = 36 \]

### Step 2: Simplify the expression inside the parentheses
We need to simplify \(x - \frac{x - 2}{7}\):
\[ x - \frac{x - 2}{7} = x - \left(\frac{x}{7} - \frac{2}{7}\right) = x - \frac{x}{7} + \frac{2}{7} \]
To combine the terms, we can express \(x\) as \(\frac{7x}{7}\):
\[ \frac{7x}{7} - \frac{x}{7} + \frac{2}{7} = \frac{7x - x + 2}{7} = \frac{6x + 2}{7} \]
Now, substitute this back into the equation:
\[ \frac{9x + 7}{2} - \frac{6x + 2}{7} = 36 \]

### Step 3: Find a common denominator
The least common multiple (LCM) of 2 and 7 is 14. We will multiply both sides of the equation by 14 to eliminate the fractions:
\[ 14 \left(\frac{9x + 7}{2}\right) - 14 \left(\frac{6x + 2}{7}\right) = 14 \cdot 36 \]
This simplifies to:
\[ 7(9x + 7) - 2(6x + 2) = 504 \]

### Step 4: Distribute the terms
Now distribute:
\[ 63x + 49 - 12x - 4 = 504 \]
Combine like terms:
\[ (63x - 12x) + (49 - 4) = 504 \]
This simplifies to:
\[ 51x + 45 = 504 \]

### Step 5: Isolate the variable
Subtract 45 from both sides:
\[ 51x = 504 - 45 \]
This gives:
\[ 51x = 459 \]

### Step 6: Solve for \(x\)
Now, divide both sides by 51:
\[ x = \frac{459}{51} \]
Calculating this gives:
\[ x = 9 \]

### Final Answer
Thus, the solution to the equation is:
\[ \boxed{9} \]