To solve the equation $(2x - 5) - 10 = x + 10$, we will follow these steps:

1. Simplify the left-hand side.
2. Collect like terms.
3. Solve for $x$.

Step-by-Step Solution:

1. Simplify the left-hand side:

$(2x - 5) - 10 = 2x - 5 - 10 = 2x - 15$

So, the equation becomes:

$2x - 15 = x + 10$

2. Collect like terms:

Subtract $x$ from both sides:

$2x - x - 15 = x - x + 10$

This simplifies to:

$x - 15 = 10$

3. Solve for $x$:

Add 15 to both sides:

$x - 15 + 15 = 10 + 15$

This simplifies to:

$x = 25$

Solution:

$x = 25$

Would you like further details or have any questions?

Related Questions:

1. Solve the equation $3x - 7 = 2x + 5$.
2. What is the value of $x$ in the equation $4x - 9 = 3x + 2$?
3. How would you solve the equation $5x + 4 = 2x + 19$?
4. Solve for $x$: $6x - 3 = 5x + 10$.
5. What is the solution to $7x - 2 = 4x + 13$?
6. How do you solve the equation $8x - 5 = 3x + 20$?
7. Solve for $x$ in the equation $9x - 8 = 4x + 17$.
8. What is the value of $x$ in the equation $10x - 6 = 5x + 24$?

Tip:

Always perform the same operation on both sides of an equation to maintain equality.