To solve the equation \( 4x - 2 = 14 \), follow these steps:

1. Add 2 to both sides to eliminate the constant on the left:
   \[
   4x - 2 + 2 = 14 + 2 \implies 4x = 16
   \]

2. Divide both sides by 4 to solve for \( x \):
   \[
   x = \frac{16}{4} \implies x = 4
   \]

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

Would you like further details on any steps or have additional questions?

Here are some related questions to expand your understanding:

1. How would the solution change if the equation were \( 4x - 2 = -14 \)?
2. What happens if you have \( 4x + 2 = 14 \) instead?
3. Can you solve the equation \( 5x - 3 = 22 \) using similar steps?
4. How do you solve equations with fractions like \( \frac{4x}{2} - 2 = 14 \)?
5. What if the variable appeared on both sides of the equation, like \( 4x - 2 = 2x + 10 \)?

**Tip**: Always aim to isolate the variable by performing inverse operations step-by-step.

Solve the linear equation 4x - 2 = 14 with step-by-step guidance. This solution teaches the concept of isolating the variable through inverse operations. Suitable for students in Grades 6-8, covering algebraic basics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation