Let's solve the equation step by step:

The given equation is:

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

### Step 1: Distribute the 10 on the left-hand side.
\[
10 \times 2x = 20x
\]
\[
10 \times -7 = -70
\]
This gives us:
\[
20x - 70 - 3 = 7
\]

### Step 2: Combine like terms on the left-hand side.
\[
20x - 73 = 7
\]

### Step 3: Add 73 to both sides to isolate the term with \(x\).
\[
20x = 7 + 73
\]
\[
20x = 80
\]

### Step 4: Divide both sides by 20 to solve for \(x\).
\[
x = \frac{80}{20}
\]
\[
x = 4
\]

So, the solution is \(x = 4\).

Do you want more details, or do you have any questions?

### Related questions:
1. How do you solve equations with multiple steps?
2. What happens if the equation contains fractions?
3. Can you explain how to check the solution to an equation?
4. What are the general steps for solving linear equations?
5. How do you solve equations that contain variables on both sides?

#### Tip: Always combine like terms and simplify expressions before isolating the variable for easier solving.

Learn how to solve the linear equation 10(2x−7)−3 = 7 using the distributive property and basic algebraic steps. This guide is suitable for middle school students and covers essential algebra concepts. Step-by-step instructions provided for Grades 6-8.

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