-4x-14=6 what is the solution to the equation

To solve the equation \(-4x - 14 = 6\), follow these steps:

1. **Add 14 to both sides** to isolate the term with \(x\):
   \[
   -4x - 14 + 14 = 6 + 14
   \]
   Simplifying this gives:
   \[
   -4x = 20
   \]

2. **Divide both sides by \(-4\)** to solve for \(x\):
   \[
   x = \frac{20}{-4}
   \]
   Simplifying this gives:
   \[
   x = -5
   \]

So, the solution to the equation is \(x = -5\).

Would you like more details or have any questions?

Here are some related questions:

1. How do you check the solution of an equation?
2. What happens if you multiply or divide both sides of an equation by a negative number?
3. How do you solve equations with variables on both sides?
4. Can you solve equations involving fractions or decimals?
5. What are some common mistakes to avoid when solving linear equations?

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

Learn how to solve the equation -4x - 14 = 6 step-by-step. This problem involves isolating variables in linear equations. Suitable for students in Grades 6-8.

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