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.