8x - 12 + 2x = 68
A Transitive Property
B Multiplication Property
C Addition Property
D Simplify
E Angle Addition Postulate
F Substitution
GSubtraction Property
H Divison Property
I Segment Addition Postulate
C Addition Property
To solve the equation 8x - 12 + 2x = 68, we can follow these steps:
1. Combine like terms on the left side of the equation:
8x + 2x - 12 = 68
2. Simplify the left side of the equation by adding the coefficients of x:
10x - 12 = 68
3. Next, we will use the addition property to isolate the variable term:
10x - 12 + 12 = 68 + 12
10x = 80
4. Now, we will use the division property to solve for x by dividing both sides of the equation by 10:
10x/10 = 80/10
x = 8
The correct answer is the Division Property (H), since we divided both sides of the equation by the same number to isolate the variable x.
To solve the equation 8x - 12 + 2x = 68, we need to follow a series of steps to isolate the variable x. Let's go through each step and determine which property is being used:
1. Combine like terms: 8x + 2x = 10x.
- This step involves the addition property, as we are combining the like terms with the same variable, x.
2. Rewrite the equation: 10x - 12 = 68.
- This step involves the simplification property, as we are rewriting the equation in a simplified form.
3. Add 12 to both sides: 10x - 12 + 12 = 68 + 12.
- This step involves the addition property, as we are maintaining the equality by adding the same value to both sides.
4. Simplify both sides: 10x = 80.
- This step involves the simplification property, as we are simplifying the expressions on both sides of the equation.
5. Divide both sides by 10: (10x) / 10 = 80 / 10.
- This step involves the division property, as we are maintaining the equality by dividing both sides by the same non-zero number.
6. Simplify both sides: x = 8.
- This step involves the simplification property, as we are simplifying the expressions on both sides of the equation.
Therefore, the correct answer is:
H Division Property