Question

2x-5=8x+7
Solving steps property used

Answer 1

To solve the equation \(2x - 5 = 8x + 7\), we can follow these steps and identify the properties used:

### Steps to Solve:
1. **Isolate terms involving \(x\)**:
- Subtract \(8x\) from both sides:
\[
2x - 8x - 5 = 7
\]
This simplifies to:
\[
-6x - 5 = 7
\]
**(Property Used: Subtraction Property of Equality)**

2. **Isolate the constant term**:
- Add \(5\) to both sides:
\[
-6x - 5 + 5 = 7 + 5
\]
This simplifies to:
\[
-6x = 12
\]
**(Property Used: Addition Property of Equality)**

3. **Solve for \(x\)**:
- Divide both sides by \(-6\):
\[
x = \frac{12}{-6}
\]
This simplifies to:
\[
x = -2
\]
**(Property Used: Division Property of Equality)**

### Summary:
The solution to the equation \(2x - 5 = 8x + 7\) is \(x = -2\). The properties used during the solving process are the Subtraction Property of Equality, Addition Property of Equality, and Division Property of Equality.