We can solve the equation \( 5x - 4 = -2(3x + 2) \) step by step:

### Step 1: Expand the right-hand side of the equation.
\[
5x - 4 = -2(3x + 2)
\]
Distribute \(-2\) on the right-hand side:
\[
5x - 4 = -6x - 4
\]

### Step 2: Move all terms involving \(x\) to one side.
Add \(6x\) to both sides to get all \(x\)-terms on the left:
\[
5x + 6x - 4 = -4
\]
\[
11x - 4 = -4
\]

### Step 3: Move the constant term to the other side.
Add 4 to both sides to isolate the \(x\)-term:
\[
11x = 0
\]

### Step 4: Solve for \(x\).
Divide both sides by 11:
\[
x = 0
\]

### Final Solution:
\[
x = 0
\]

Would you like more details or have any questions?

Here are some related questions:
1. How do you check if a solution to an equation is correct?
2. What happens when both sides of an equation simplify to a constant?
3. What is the distributive property and how is it used in equations?
4. How do you solve equations with fractions?
5. How can solving linear equations help in real-world problems?

**Tip:** Always check your solution by substituting the value of \(x\) back into the original equation to verify the equality.

Learn how to solve the linear equation 5x − 4 = −2(3x + 2) using distributive property and combining like terms. This detailed step-by-step guide walks through the solution and provides tips for verifying your answer. Suitable for students in Grades 6-8.

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