Solve :
`(1)/(3)x-6=(5)/(2)`

Answer

To solve the equation \(\frac{1}{3}x - 6 = \frac{5}{2}\), we will follow these steps:

### Step 1: Eliminate the fraction on the left side
To eliminate the fraction, we can multiply every term in the equation by 6, which is the least common multiple of the denominators (3 and 2).

\[ 6 \left(\frac{1}{3}x\right) - 6 \cdot 6 = 6 \left(\frac{5}{2}\right) \]

### Step 2: Simplify the equation
Now, we simplify each term:

\[ 2x - 36 = 15 \]

### Step 3: Isolate the variable term
Next, we will isolate the term with \(x\) by adding 36 to both sides of the equation:

\[ 2x - 36 + 36 = 15 + 36 \]

This simplifies to:

\[ 2x = 51 \]

### Step 4: Solve for \(x\)
Now, divide both sides by 2 to solve for \(x\):

\[ x = \frac{51}{2} \]

### Final Answer
Thus, the solution to the equation is:

\[ x = 25.5 \]