Let's solve the equation \( 2x - 3 = x + 7 \).

### Step 1: Move all terms involving \( x \) to one side of the equation
Subtract \( x \) from both sides:
\[
2x - x - 3 = 7
\]
This simplifies to:
\[
x - 3 = 7
\]

### Step 2: Move the constant to the other side
Add 3 to both sides:
\[
x = 7 + 3
\]
Simplifying further:
\[
x = 10
\]

### Final answer:
The solution is \( x = 10 \).

Would you like further details or have any other questions?

Here are 5 related questions:
1. How do you solve equations with variables on both sides?
2. How would the solution change if the equation were \( 2x - 3 = x + 10 \)?
3. Can you solve for \( x \) if the equation is \( 3x - 5 = 2x + 6 \)?
4. What happens if the equation includes fractions, like \( \frac{2x}{3} - 3 = x + 7 \)?
5. How can you solve quadratic equations like \( x^2 + 2x - 3 = 0 \)?

**Tip:** Always aim to isolate the variable by performing inverse operations step-by-step.

Learn how to solve the linear equation 2x - 3 = x + 7 with a detailed step-by-step solution. This algebra problem focuses on isolating the variable and applying inverse operations. Ideal for students in Grades 6-8.

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