Let's solve the equation step by step:

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

### Step 1: Simplify both sides.
First, combine like terms on both sides:
\[
x = -4x + 4
\]

### Step 2: Move all terms involving \( x \) to one side.
Add \( 4x \) to both sides to eliminate the \( -4x \) on the right:
\[
x + 4x = 4
\]

This simplifies to:
\[
5x = 4
\]

### Step 3: Solve for \( x \).
Divide both sides by 5:
\[
x = \frac{4}{5}
\]

So, the solution is:
\[
x = \frac{4}{5}
\]

Would you like more details or have any questions?

Here are 5 related questions you might find helpful:
1. How would you solve the equation \( 2x - 3 = 7x + 1 \)?
2. What happens if you have an equation with no solution?
3. Can you solve \( 4x + 6 = 2(2x + 3) \)?
4. How do you solve an equation with fractions, like \( \frac{3}{2}x = 6 - \frac{1}{4}x \)?
5. What are the steps to solving a quadratic equation?

**Tip:** When moving terms in an equation, remember to change the sign of the term when you move it across the equals sign!

Learn how to solve the equation 3x - 2x = -4x + 4 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations and combining like terms. Suitable for students in Grades 7-9.

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