A single member LLC is treated as a disregarded entity, a sole proprietorship for tax purposes. With that being said, you can write off the business related use fo the truck and equipment while personally owning the equipment. You are able to deduct the business use of the truck, either by using the standard mileage deduction or actual expenses including depreciation and repairs and maintainance. For the equipment, it will be recorded on the books at the price you paid for it and can be depreciation over the useful life of the equipment. In addition, any repairs, maintenance or upgrades to the equipment can be written off on the business.
Here is a great TurboTax article about business use of vehicles.... https://turbotax.intuit.com/tax-tips/self-employment-taxes/maximizing-tax-deductions-for-the-busines...
