To solve the equation \( 3x = 2x + 22 \), follow these steps:

1. Subtract \( 2x \) from both sides to get all the \( x \)-terms on one side:
   \[
   3x - 2x = 22
   \]
2. Simplify:
   \[
   x = 22
   \]

So, the solution is \( x = 22 \).

Would you like more details or have any other questions?

Here are 5 related questions for further practice:
1. Solve \( 4x = 3x + 15 \).
2. Solve \( 5x + 10 = 3x + 20 \).
3. Solve \( 6x - 4 = 3x + 8 \).
4. Solve \( 7x = 2x + 35 \).
5. Solve \( 8x + 10 = 6x + 30 \).

**Tip:** Always aim to isolate the variable on one side of the equation to simplify solving.

Learn how to solve the linear equation 3x = 2x + 22 with a step-by-step guide. This problem teaches key algebraic concepts, including solving for variables and isolating terms, suitable for students in Grades 6-8.

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