To solve the equation \(8x - 2 = -9 + 7x\), let's go through the steps:

1. **Move the \(7x\) term to the left side** by subtracting \(7x\) from both sides:
   \[
   8x - 7x - 2 = -9
   \]
   \[
   x - 2 = -9
   \]

2. **Isolate \(x\)** by adding 2 to both sides:
   \[
   x - 2 + 2 = -9 + 2
   \]
   \[
   x = -7
   \]

So, the solution is \(x = -7\).

Would you like more details or have any questions about this solution?

Here are some related questions for further practice:
1. Solve \(5x - 4 = 3x + 6\).
2. Find \(y\) in the equation \(9y + 3 = 7y - 5\).
3. Solve for \(n\): \(2n - 8 = n + 1\).
4. Determine the value of \(k\) in the equation \(6k - 10 = 4k + 8\).
5. Solve \(3p + 7 = 2p - 4\).

**Tip:** When solving equations with variables on both sides, it's often easiest to move all the variables to one side and constants to the other before isolating the variable.

Learn how to solve the equation 8x - 2 = -9 + 7x with a detailed step-by-step solution. This problem covers fundamental concepts in linear equations and equation solving. Suitable for students in Grades 6-8.

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