Final answer:
The property defining 3x-6=x+4 is that it is a linear equation. To solve for x, you would isolate the variable through basic algebraic operations, resulting in x = 5.
Step-by-step explanation:
The property of the equation 3x-6=x+4 is that it is a linear equation. In this type of equation, variables are raised to the first power, and graphing this equation would give you a straight line on a coordinate plane. To solve for x, you would follow these steps:
Subtract x from both sides of the equation to bring all the x terms to one side. After doing so, the equation will be 2x - 6 = 4.
Add 6 to both sides to move the constant term to the opposite side, which gives you 2x = 10.
Divide both sides by 2 to isolate x, leading to x = 5.
Therefore, the solution to the equation 3x-6=x+4 is x = 5.