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.