To solve the equation:

\[
10(2x - 7) - 3 = 7
\]

Follow these steps:

### Step 1: Distribute the 10
\[
10 \cdot 2x - 10 \cdot 7 - 3 = 7
\]
\[
20x - 70 - 3 = 7
\]

### Step 2: Combine like terms
\[
20x - 73 = 7
\]

### Step 3: Add 73 to both sides
\[
20x = 80
\]

### Step 4: Divide both sides by 20
\[
x = 4
\]

### Final Answer:
\[
x = 4
\]

Would you like more details on any of the steps, or do you have any questions?

Here are 5 related questions for practice:
1. Solve \( 8(3x - 5) + 2 = 18 \).
2. If \( 5(4x + 1) - 3 = 27 \), what is \( x \)?
3. How would you solve \( 12(2x - 6) = 24 \)?
4. Solve for \( x \) in \( 7(2x - 3) - 8 = 6 \).
5. Find the value of \( x \) in \( 9(x - 4) - 5 = 22 \).

**Tip:** Always simplify inside parentheses first before distributing, it keeps the calculations organized!

Learn how to solve the linear equation 10(2x - 7) - 3 = 7 with a detailed step-by-step solution. This problem covers key algebraic concepts, including the distributive property and properties of equality. Suitable for students in Grades 7-9.

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