The equation you provided is:

$\frac{2 - 3x}{4} = 5$

Let's solve it step by step:

Step 1: Eliminate the denominator

Multiply both sides of the equation by 4 to get rid of the denominator: $2 - 3x = 5 \times 4$ $2 - 3x = 20$

Step 2: Isolate the variable term

Subtract 2 from both sides: $-3x = 20 - 2$ $-3x = 18$

Step 3: Solve for $x$

Divide both sides by -3: $x = \frac{18}{-3}$ $x = -6$

Thus, the solution is: $x = -6$

Would you like any additional details on these steps or explanations? Here are five related questions that could extend this problem:

1. How would the solution change if the denominator were a different number, say 5?
2. Can you solve for $x$ if the equation is $\frac{2 - 3x}{4} = -5$?
3. What happens if you add a constant to both sides of the equation before solving?
4. Can you create a similar equation but with a quadratic expression in the numerator?
5. How would you approach solving the equation if the fraction included a variable in the denominator as well?

Tip:

When solving linear equations, always try to first eliminate fractions by multiplying both sides by the denominator to simplify the equation.