To solve the equation \( 4x - 15 = 17 - 4x \), follow these steps:

1. **Add \( 4x \) to both sides** to eliminate the \( -4x \) on the right side:
   \[
   4x + 4x - 15 = 17 - 4x + 4x
   \]
   This simplifies to:
   \[
   8x - 15 = 17
   \]

2. **Add 15 to both sides** to isolate the term with \( x \) on the left side:
   \[
   8x - 15 + 15 = 17 + 15
   \]
   This simplifies to:
   \[
   8x = 32
   \]

3. **Divide both sides by 8** to solve for \( x \):
   \[
   x = \frac{32}{8}
   \]
   \[
   x = 4
   \]

So, the solution is \( x = 4 \).

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

Here are 5 related questions:
1. What would happen if you had \( 5x - 12 = 18 - 5x \)?
2. How do you solve \( 3x + 7 = 19 - 2x \)?
3. What is the solution to \( 2(x - 3) = 4(x - 5) \)?
4. How do you verify the solution to an equation?
5. What if the equation was \( 4x - 15 = 17 - 3x \)?

**Tip:** Always check your solution by substituting it back into the original equation to ensure both sides are equal.

Learn how to solve the linear equation 4x - 15 = 17 - 4x with a step-by-step solution. This problem covers solving linear equations, including combining like terms and isolating variables. Suitable for students in Grades 7-9.

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