Let's solve the equation step by step:

$3x - 5 = 2x + 7$

1. Move the terms involving $x$ to one side: Subtract $2x$ from both sides:

$3x - 2x - 5 = 2x - 2x + 7$ $x - 5 = 7$

2. Move the constant term to the other side: Add $5$ to both sides:

$x - 5 + 5 = 7 + 5$ $x = 12$

So, the solution is $x = 12$.

Would you like further clarification on any step? Or have any questions?

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Here are some related questions for you:

1. How would you solve an equation with fractions, like $\frac{1}{2}x - 3 = 4$?
2. What happens if the equation involves negative signs, like $-3x + 5 = 2x - 1$?
3. Can you solve a system of equations, like $x + y = 5$ and $2x - y = 4$?
4. How would you graph the solution to an equation like $x = 12$?
5. What would happen if there were no solution, like in $2x + 5 = 2x - 3$?

Tip: When solving equations, always aim to isolate the variable on one side to simplify the process.