To solve the equation \(3x - 9 = 5x + 3\), follow these steps:

1. **Move all terms involving \(x\) to one side**:
   \[
   3x - 5x = 3 + 9
   \]
   Simplify:
   \[
   -2x = 12
   \]

2. **Solve for \(x\)** by dividing both sides by \(-2\):
   \[
   x = \frac{12}{-2} = -6
   \]

So, the solution is \(x = -6\).

Would you like any further details or have any questions?

Here are 5 related questions you might find interesting:
1. How do you solve an equation with variables on both sides?
2. What happens if you have fractions in the equation?
3. Can you check if \(x = -6\) is the correct solution by substituting it back into the original equation?
4. How do you solve inequalities with a similar structure to this equation?
5. What would happen if you added the same number to both sides of the equation?

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

Learn how to solve the linear equation 3x - 9 = 5x + 3 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations by moving terms and simplifying. Suitable for students in Grades 7-9.

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