To solve the equation \( 4 - 9x = -14 \), follow these steps:

1. **Isolate the variable term**: Start by subtracting 4 from both sides to get rid of the constant on the left-hand side.

\[
4 - 9x - 4 = -14 - 4
\]
\[
-9x = -18
\]

2. **Solve for \( x \)**: Now, divide both sides by -9 to isolate \( x \).

\[
x = \frac{-18}{-9}
\]
\[
x = 2
\]

Thus, the solution is \( x = 2 \).

Would you like more details on any step or have any questions?

Here are some related questions you could explore:
1. How would you solve \( 5 - 7x = -9 \)?
2. What happens if the equation has fractions, like \( \frac{3}{2} - x = 5 \)?
3. How would you handle \( -12x + 4 = 16 \)?
4. How do you check the solution of an equation after solving it?
5. How would the solution change if the signs in the equation were different?

**Tip**: Always simplify the equation step by step to avoid mistakes, especially when dealing with negatives.

Learn how to solve the linear equation 4 - 9x = -14 with a detailed step-by-step explanation. This example covers algebraic concepts such as isolating the variable and applying the division property of equality. Ideal for students in Grades 6-8.

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