If `x/2-x/3=5`, then x=?

Answer

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

### Step 1: Find a common denominator
The denominators in the equation are 2 and 3. The least common multiple (LCM) of 2 and 3 is 6.

### Step 2: Rewrite the fractions with the common denominator
We can rewrite the equation as follows:
\[ \frac{x}{2} = \frac{3x}{6} \quad \text{and} \quad \frac{x}{3} = \frac{2x}{6} \]
So, the equation becomes:
\[ \frac{3x}{6} - \frac{2x}{6} = 5 \]

### Step 3: Combine the fractions
Now, we can combine the fractions on the left side:
\[ \frac{3x - 2x}{6} = 5 \]
This simplifies to:
\[ \frac{x}{6} = 5 \]

### Step 4: Eliminate the fraction
To eliminate the fraction, multiply both sides of the equation by 6:
\[ x = 5 \times 6 \]

### Step 5: Calculate the value of x
Now, calculate the right side:
\[ x = 30 \]

### Final Answer
Thus, the value of \( x \) is \( 30 \).

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