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.

Learn how to solve the linear equation (2x - 5) - 10 = x + 10 with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and solving for variables. Suitable for students in Grades 7-9.

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