Answer:
![x = -6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6aazvxvlh71urg5k4zybt8tbakcazi3ev9.png)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Explanation:
Step 1: Define
![x - 2 = (5x - 2)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/tf0t255zrft43rz691a7rsrz0u11q6zy6h.png)
Step 2: Solve for x
- Multiply 4 on both sides:
![4(x - 2) = 5x - 2](https://img.qammunity.org/2021/formulas/mathematics/high-school/544qk4np7c4px4532a6yeilwobu1nj4jco.png)
- Distribute 4:
![4x - 8 = 5x - 2](https://img.qammunity.org/2021/formulas/mathematics/high-school/r20kzvabvg1v065hdmur29q86w6m23mhy6.png)
- Subtract 4x on both sides:
![-8 = x - 2](https://img.qammunity.org/2021/formulas/mathematics/high-school/v15g2epc20x8h2zmqzmky6hnxikvgkg8mz.png)
- Add 2 on both sides:
![-6 = x](https://img.qammunity.org/2021/formulas/mathematics/high-school/3sgnd8pgjglemx8h2c6b5mdui5w96ezzt2.png)
- Rewrite:
![x = -6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6aazvxvlh71urg5k4zybt8tbakcazi3ev9.png)