To solve the equation \(7 = 3c - 5\) for \(c\), follow these steps:

1. **Add 5 to both sides of the equation:**
   \[
   7 + 5 = 3c - 5 + 5
   \]
   Simplifies to:
   \[
   12 = 3c
   \]

2. **Divide both sides by 3:**
   \[
   \frac{12}{3} = \frac{3c}{3}
   \]
   Simplifies to:
   \[
   4 = c
   \]

So, the solution to the equation \(7 = 3c - 5\) is \(c = 4\).

Would you like any details or have any questions?

Here are 8 related questions to further expand your understanding:

1. How do you solve \(5 = 2x - 3\)?
2. What is the solution to \(10 = 4y + 2\)?
3. How would you solve \(15 = 5k - 5\)?
4. What steps are involved in solving \(20 = 6m + 4\)?
5. Can you solve \(25 = 7n - 3\)?
6. How do you solve \(30 = 8p + 2\)?
7. What is the solution to \(35 = 9q - 4\)?
8. How do you solve \(40 = 10r + 5\)?

**Tip:** Isolate the variable on one side by performing inverse operations step by step.

Learn how to solve the equation 7 = 3c - 5 step-by-step with a detailed solution. This problem involves linear equations and equation solving techniques, suitable for students in Grades 7-9.

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