To solve the equation \( 2x - \frac{1}{4} = x - \frac{7}{3} \), follow these steps:

1. **Eliminate the fractions** by finding a common denominator:
   - The least common denominator (LCD) of 4 and 3 is 12.
   - Multiply every term by 12 to clear the fractions.

   \[
   12 \cdot \left(2x - \frac{1}{4}\right) = 12 \cdot \left(x - \frac{7}{3}\right)
   \]

   This simplifies to:

   \[
   24x - 3 = 12x - 28
   \]

2. **Move all terms involving \( x \)** to one side of the equation:
   - Subtract \( 12x \) from both sides:

   \[
   24x - 12x - 3 = -28
   \]

   Simplifying:

   \[
   12x - 3 = -28
   \]

3. **Isolate \( x \)**:
   - Add 3 to both sides:

   \[
   12x = -25
   \]

   - Divide both sides by 12:

   \[
   x = -\frac{25}{12}
   \]

So, the solution is \( x = -\frac{25}{12} \).

Would you like more details, or do you have any questions? 

Here are some related problems you might find interesting:
1. Solve \( 3x - \frac{2}{5} = 2x + \frac{1}{2} \).
2. Solve \( 4x - \frac{3}{2} = 5x + \frac{7}{6} \).
3. Solve \( 5x + \frac{4}{7} = 3x - \frac{9}{2} \).
4. Solve \( 6x - \frac{1}{3} = 7x + \frac{5}{8} \).
5. Solve \( 7x + \frac{2}{3} = 4x - \frac{8}{5} \).

**Tip:** When dealing with fractions in an equation, it's often easiest to eliminate them first by multiplying by the least common denominator.

Learn how to solve the equation 2x - 1/4 = x - 7/3 with a detailed step-by-step solution. This problem involves equations with fractions and basic algebraic manipulation. Suitable for students in Grades 7-9.

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