To solve the equation $3x - 5 = 5$:

Step 1: Isolate $x$

Add 5 to both sides of the equation: $3x - 5 + 5 = 5 + 5$ $3x = 10$

Step 2: Solve for $x$

Divide both sides by 3: $x = \frac{10}{3}$

Final Answer:

$x = \frac{10}{3}$

Would you like a detailed explanation or have any further questions?

Relative Questions:

1. How can you verify the solution of $x = \frac{10}{3}$?
2. What happens if $3x - 5 \neq 5$? How would you approach similar problems?
3. Can you graph the equation $y = 3x - 5$ and interpret where it intersects $y = 5$?
4. What are real-world examples where linear equations like this arise?
5. How do you solve equations involving fractions or decimals efficiently?

Tip:

Always check your solution by substituting it back into the original equation!