To solve the equation \(-3x + 82 = 70\), we will follow these steps:

### Step 1: Isolate the variable term
First, subtract 82 from both sides of the equation to get the term involving \(x\) by itself:
\[
-3x + 82 - 82 = 70 - 82
\]
\[
-3x = -12
\]

### Step 2: Solve for \(x\)
Next, divide both sides by \(-3\) to solve for \(x\):
\[
x = \frac{-12}{-3}
\]
\[
x = 4
\]

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

Would you like more details on this solution, or do you have any questions?

Here are 5 related questions to expand your understanding:
1. What happens if the equation had been \(-3x + 82 = 50\)?
2. How would you solve the equation if it were \(3x + 82 = 70\) instead?
3. What are the steps to solve \(5x - 20 = 100\)?
4. Can you solve the equation \(2x - 4 = 10x + 8\)?
5. What is the solution for \(4x + 9 = 2x - 5\)?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality when solving for a variable.

Learn how to solve the equation -3x + 82 = 70 with detailed step-by-step instructions. This problem involves isolating the variable and solving a linear equation. Suitable for students in Grades 6-8.

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