Let's solve the equation step by step:

Given:
\[
5x - 2 = 3x + 4
\]

### Step 1: Move the variable terms to one side.
Subtract \(3x\) from both sides:
\[
5x - 3x - 2 = 4
\]
\[
2x - 2 = 4
\]

### Step 2: Move the constant terms to the other side.
Add 2 to both sides:
\[
2x - 2 + 2 = 4 + 2
\]
\[
2x = 6
\]

### Step 3: Solve for \(x\).
Divide both sides by 2:
\[
x = \frac{6}{2}
\]
\[
x = 3
\]

The solution is \(x = 3\).

Would you like more details on any part of the solution?

Here are 5 related questions:
1. How would you solve \(7x - 5 = 2x + 10\)?
2. What happens if the coefficients of \(x\) on both sides are the same?
3. Can you apply this process to inequalities like \(4x - 1 \leq 2x + 7\)?
4. How would you handle equations with fractions, like \(\frac{3}{2}x - 1 = x + 4\)?
5. How can you check if the solution to an equation is correct?

**Tip:** Always simplify the equation by moving terms with \(x\) to one side and constants to the other before solving.

Learn how to solve the linear equation 5x - 2 = 3x + 4 with a detailed step-by-step solution. This guide explains key algebraic concepts and methods, including moving variables to one side and constants to the other. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation