To solve this problem, we need to determine the value of x, which represents the number of rose bushes that Mike bought for his friend.
Let's break down the information given:
Number of rose bushes bought: 6
Cost per rose bush: $75
Number of tiger tooth aloes bought: 2
Cost per tiger tooth aloe: $100
Total amount spent on plants for himself: $500
We can set up the equation as follows:
(Number of rose bushes - x) * Cost per rose bush + (Number of tiger tooth aloes * Cost per tiger tooth aloe) = Total amount spent on plants for himself
(6 - x) * $75 + 2 * $100 = $500
Let's simplify and solve for x:
(6 - x) * $75 + $200 = $500
Let's distribute the $75 to the terms inside the parentheses:
$450 - $75x + $200 = $500
Combine like terms:
$450 + $200 - $75x = $500
$650 - $75x = $500
To isolate x, we subtract $650 from both sides of the equation:
$650 - $650 - $75x = $500 - $650
-$75x = -$150
To solve for x, we divide both sides of the equation by -75:
x = -$150 / -75
x = 2
The value of x is 2.
#### 2
The answer is: 2
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Mike buys 6 rose bushes at 75 dollars each, x of them are for his friend and the rest are for him.  He also buys 2 tiger tooth aloes for 100 dollars each. He spent 500 money on plants for himself.

### Answer:
