To solve the equation \( \frac{3}{4} - x = 6 \), follow these steps:

1. **Isolate the variable \(x\)**:
   - Subtract \(\frac{3}{4}\) from both sides of the equation:
   \[
   -x = 6 - \frac{3}{4}
   \]
   
2. **Simplify the right-hand side**:
   - Convert 6 to a fraction with a denominator of 4:
   \[
   -x = \frac{24}{4} - \frac{3}{4} = \frac{21}{4}
   \]

3. **Solve for \(x\)**:
   - Multiply both sides of the equation by \(-1\):
   \[
   x = -\frac{21}{4}
   \]

So, the solution is:
\[
x = -\frac{21}{4}
\]

Would you like more details or have any questions?

Here are five related questions to further explore this topic:
1. How would you solve an equation with variables on both sides?
2. What happens if you multiply both sides of an equation by a negative number?
3. How can you solve a system of equations involving fractions?
4. How do you graph linear equations on a coordinate plane?
5. What is the significance of rational numbers in solving equations?

**Tip**: Always check your solution by substituting it back into the original equation to verify it works.

Learn how to solve the linear equation 3/4 - x = 6 with a detailed step-by-step solution. This problem explores key algebraic concepts, including solving for a variable and working with fractions. Ideal for students in Grades 6-8.

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