what property is being used for 3x – 12 + 12 = 33 + 12
The property being used in this equation is the addition property of equality.
To solve the equation, you want to isolate the variable, which in this case is "x". The addition property of equality states that if you add the same number to both sides of an equation, the equality remains true.
Let's break down the equation step by step:
1. 3x - 12 + 12 = 33 + 12
First, we can simplify the equation by canceling out the -12 and +12 on the left side:
2. 3x = 33 + 12
Next, we can simplify the right side by adding 33 and 12 together:
3. 3x = 45
Now, to isolate the variable "x", we want to get rid of the coefficient 3. We can do this by using the multiplication property of equality, which states that if you multiply both sides of an equation by the same number, the equality remains true.
Dividing both sides of the equation by 3, we get:
4. x = 15
Therefore, the solution to the equation is x = 15.
In summary, we used the addition property of equality to simplify the equation by canceling out terms with the same value on both sides. Then, we applied the multiplication property of equality to isolate the variable and found the value of x.