Let's solve the equation \(x + 2(3 - x) = 4x - 4\).

### Step 1: Distribute the 2 on the left side
\[
x + 2 \cdot 3 - 2 \cdot x = 4x - 4
\]
\[
x + 6 - 2x = 4x - 4
\]

### Step 2: Combine like terms on the left side
\[
(1x - 2x) + 6 = 4x - 4
\]
\[
-x + 6 = 4x - 4
\]

### Step 3: Move all the terms involving \(x\) to one side and constants to the other side
Add \(x\) to both sides:
\[
6 = 5x - 4
\]

### Step 4: Isolate the term with \(x\)
Add 4 to both sides:
\[
10 = 5x
\]

### Step 5: Solve for \(x\)
Divide both sides by 5:
\[
x = 2
\]

The solution is \(x = 2\).

Would you like more details on any step, or do you have any questions?

Here are 5 related questions you might find interesting:
1. How do you solve the equation \(2(x + 4) = 3x + 8\)?
2. What is the solution to \(4 - 3(x + 2) = x - 8\)?
3. How can you solve \(2(3y - 5) + y = 4y + 7\)?
4. What steps are involved in solving \(5(x - 1) - 2x = 3x + 10\)?
5. How do you simplify and solve \(x + 3(2x - 1) = 5x + 2\)?

**Tip:** When combining like terms, make sure to carefully consider the signs of each term to avoid mistakes.

Learn how to solve the equation x + 2(3 - x) = 4x - 4 with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations, the distributive property, combining like terms, and solving linear equations. 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