Let's solve the equation step by step:

\[
8x - (2x - 3) = 9
\]

### Step 1: Distribute the negative sign inside the parentheses
\[
8x - 2x + 3 = 9
\]

### Step 2: Combine like terms on the left side
\[
(8x - 2x) + 3 = 9
\]
\[
6x + 3 = 9
\]

### Step 3: Subtract 3 from both sides to isolate the term with \(x\)
\[
6x = 9 - 3
\]
\[
6x = 6
\]

### Step 4: Divide both sides by 6
\[
x = \frac{6}{6}
\]
\[
x = 1
\]

So, the solution is \(x = 1\).

Would you like more details or have any questions?

Here are 5 related questions you might find helpful:
1. How do you solve equations with variables on both sides?
2. What happens if there are fractions in an equation?
3. How can you check if the solution to an equation is correct?
4. What are the steps to solve an equation with multiple terms and parentheses?
5. How do you simplify expressions before solving?

**Tip**: Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation 8x - (2x - 3) = 9 using distributive property and combining like terms. This detailed step-by-step solution covers essential algebraic concepts for students in Grades 6-8.

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