To solve the equation \(3x - 50 = 10 - 3x\), follow these steps:

1. **Add \(3x\) to both sides** to eliminate the \( -3x \) on the right side:
   \[
   3x + 3x - 50 = 10 - 3x + 3x
   \]
   Simplifying, this gives:
   \[
   6x - 50 = 10
   \]

2. **Add 50 to both sides** to isolate the term with \(x\):
   \[
   6x - 50 + 50 = 10 + 50
   \]
   Simplifying, this gives:
   \[
   6x = 60
   \]

3. **Divide both sides by 6** to solve for \(x\):
   \[
   x = \frac{60}{6}
   \]
   So, \(x = 10\).

Thus, the solution is \(x = 10\).

Would you like more details or have any further questions?

Here are 5 related questions for practice:
1. Solve \(5x - 15 = 25 - 2x\).
2. If \(4x + 20 = 3x - 10\), what is \(x\)?
3. Solve \(2(3x - 5) = 4x + 10\).
4. Find \(x\) if \(7x + 40 = 2x + 90\).
5. What is \(x\) in \(8x - 6 = 2x + 30\)?

**Tip**: When solving equations, always try to combine like terms on each side first to simplify your calculations.

Learn how to solve the linear equation 3x - 50 = 10 - 3x with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equation manipulation and properties of equality. Suitable for students in Grades 6-8.

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