https://file.aiquickdraw.com/mathbot/file/1725455115581n3kn62ru.jpg

The equation provided in the image is:

\[ 8x - 10 = 6x \]

To solve for \( x \), follow these steps:

1. Subtract \( 6x \) from both sides of the equation to move all the \( x \) terms to one side:
   \[
   8x - 6x - 10 = 0
   \]
   Simplifying this, you get:
   \[
   2x - 10 = 0
   \]

2. Next, add 10 to both sides of the equation to move the constant to the other side:
   \[
   2x = 10
   \]

3. Finally, divide both sides by 2 to solve for \( x \):
   \[
   x = 5
   \]

So, the correct answer is \( x = 5 \), which corresponds to option **A** in the provided choices.

Would you like more details on the steps, or do you have any questions?

Here are 5 related questions for practice:

1. Solve the equation \( 5x - 3 = 2x + 4 \).
2. What is the solution for \( 7x - 9 = 5x + 11 \)?
3. Solve the equation \( 4x + 6 = 2x - 8 \).
4. If \( 3x + 12 = 0 \), what is the value of \( x \)?
5. How do you solve \( 9x - 4 = 2x + 10 \)?

**Tip:** Always start by moving the variable terms to one side of the equation and the constant terms to the other side.

This problem involves solving the linear equation 8x - 10 = 6x by applying algebraic manipulation techniques. Learn step-by-step how to isolate the variable x and find the solution. Suitable for middle school students in Grades 6-8.

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