To solve the equation \( 14 - 4x = 26 \) for \( x \):

1. Subtract 14 from both sides:
   \[
   14 - 4x - 14 = 26 - 14
   \]
   \[
   -4x = 12
   \]

2. Divide both sides by \(-4\) to solve for \( x \):
   \[
   x = \frac{12}{-4}
   \]
   \[
   x = -3
   \]

Thus, the solution is \( x = -3 \).

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

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Here are 5 related questions to deepen your understanding:
1. How do you solve an equation with variables on both sides?
2. What happens when you have equations involving fractions?
3. Can you solve \( 5x + 3 = 18 \)?
4. How would you solve \( 2(3x - 5) = 16 \)?
5. What if the equation was \( -4x = 26 - 14 \)?

**Tip:** Always perform the same operation on both sides of an equation to maintain balance.

Learn how to solve the linear equation 14 - 4x = 26 with a clear, step-by-step solution. This example highlights core algebraic concepts and balancing methods, making it ideal for students in Grades 6-8.

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