We are given the equation:

\[
20 = -16x + 84
\]

### Step 1: Subtract 84 from both sides of the equation to isolate the term with \(x\).
\[
20 - 84 = -16x
\]
\[
-64 = -16x
\]

### Step 2: Divide both sides by \(-16\) to solve for \(x\).
\[
\frac{-64}{-16} = x
\]
\[
x = 4
\]

Thus, the solution is \(x = 4\).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What happens if the coefficient of \(x\) was positive instead of negative?
2. How do you check if the solution to the equation is correct?
3. Can you solve the equation graphically?
4. How would you set up a similar equation if the result was different?
5. What is the impact of multiplying or dividing both sides of an equation by a negative number?

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

Learn how to solve the linear equation 20 = -16x + 84 with a detailed step-by-step breakdown. This solution explores basic algebraic operations such as subtraction and division to find the value of x. Suitable for students in Grades 6-8.

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