To solve the equation \(4x + 10 = -26\), follow these steps:

1. **Isolate the term with \(x\)** by subtracting 10 from both sides:
   \[
   4x = -26 - 10
   \]
   \[
   4x = -36
   \]

2. **Solve for \(x\)** by dividing both sides by 4:
   \[
   x = \frac{-36}{4}
   \]
   \[
   x = -9
   \]

So, the solution is \(x = -9\).

Would you like further explanation or have any questions?

Here are 5 related questions to deepen understanding:
1. What happens when you multiply or divide both sides of an equation by a negative number?
2. How would the solution change if the equation was \(4x + 10 = 26\)?
3. Can you solve the equation \(5x - 7 = 13\)?
4. What does it mean for an equation to have no solution or infinite solutions?
5. How can we check the solution of the equation by substitution?

**Tip:** Always check your solution by substituting it back into the original equation to verify the correctness.

Learn how to solve the linear equation 4x + 10 = -26 with a clear step-by-step solution. This guide explores key algebraic concepts, including isolating variables and applying properties of equality. Suitable for students in Grades 6-8.

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