To solve the equation \( 4x + 14 + 4x = 38 \), follow these steps:

1. **Combine like terms** on the left side of the equation:
   \[
   4x + 4x + 14 = 38
   \]
   Simplifies to:
   \[
   8x + 14 = 38
   \]

2. **Subtract 14 from both sides** to isolate the term with \( x \):
   \[
   8x + 14 - 14 = 38 - 14
   \]
   Simplifies to:
   \[
   8x = 24
   \]

3. **Divide both sides by 8** to solve for \( x \):
   \[
   x = \frac{24}{8}
   \]
   Simplifies to:
   \[
   x = 3
   \]

So, the solution is \( x = 3 \).

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

Here are 5 related questions you might be interested in:

1. What happens if we add different constants to both sides of the equation?
2. How do you solve equations with variables on both sides?
3. What is the general process for solving multi-step equations?
4. How can you verify that your solution to an equation is correct?
5. How does the distributive property apply to equations like this?

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

Learn how to solve the equation 4x + 14 + 4x = 38 with a step-by-step solution. This problem involves combining like terms and solving a linear equation. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation