Solve for x: 3x − 5 = 2x + 6.

1
−1
11
−11

To solve the equation \(3x - 5 = 2x + 6\), follow these steps:

1. Subtract \(2x\) from both sides of the equation:
   \[
   3x - 2x - 5 = 6
   \]
   This simplifies to:
   \[
   x - 5 = 6
   \]

2. Add 5 to both sides to isolate \(x\):
   \[
   x = 6 + 5
   \]
   \[
   x = 11
   \]

So, the solution is \(x = 11\).

Would you like more details or have any questions?

Here are 5 related questions:

1. How would you solve \(4x - 7 = 3x + 9\)?
2. What is the value of \(x\) in the equation \(5x + 2 = 2x - 3\)?
3. How do you solve \(7x - 4 = 6x + 8\)?
4. What happens when you have an equation like \(2x + 5 = 2x + 3\)?
5. Can you solve for \(x\) in \(10x - 15 = 5x + 20\)?

**Tip:** Always start by moving all terms involving \(x\) to one side of the equation and the constant terms to the other side.

Learn how to solve the equation 3x − 5 = 2x + 6 step-by-step with detailed explanations. This problem involves solving a linear equation, which is essential in algebraic problem-solving. Suitable for students in Grades 7-9.

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