Final answer:
To solve for x in the equation -4.65 = 3.5x - 0.1, you can follow these steps: add 0.1 to both sides of the equation, combine like terms, divide both sides by 3.5, and use a calculator to find the decimal approximation. The value of x is approximately -1.30.
Step-by-step explanation:
To solve for x in the equation -4.65 = 3.5x - 0.1, we can use the following steps:
- Add 0.1 to both sides of the equation to isolate the variable term: -4.65 + 0.1 = 3.5x
- Combine like terms: -4.55 = 3.5x
- Divide both sides of the equation by 3.5 to solve for x: x = -4.55/3.5
- Use a calculator to find the decimal approximation: x ≈ -1.30