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

1. **Move the terms involving \( c \)** to one side of the equation:
   \[
   3c - c = 22 + 2
   \]

2. **Simplify both sides**:
   \[
   2c = 24
   \]

3. **Solve for \( c \)** by dividing both sides by 2:
   \[
   c = \frac{24}{2} = 12
   \]

So, the solution is \( c = 12 \).

Would you like more details or have any questions?

Here are 5 related questions:

1. How would you solve the equation \( 5c - 3 = 2c + 15 \)?
2. What steps would you take to solve \( 4c + 7 = 2c + 31 \)?
3. How do you solve the equation \( 7c - 4 = 3c + 8 \)?
4. What if the equation was \( 6c - 5 = c + 19 \)?
5. How do you check if your solution to an equation is correct?

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

Learn how to solve the equation 3c - 2 = c + 22 with a detailed step-by-step solution. This problem covers linear equations, including simplification and solving for the variable. Suitable for students in Grades 7-9.

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