Step 2: x+13= 17−x
A. Distributive property
B. Addition/Subtraction property
C. Multiplication/Division Property
D. Combine Like Terms
D. Combine Like Terms
To solve the equation x + 13 = 17 - x, we need to use the Addition/Subtraction property.
First, we can add x to both sides of the equation:
x + x + 13 = 17 - x + x
This simplifies to:
2x + 13 = 17
Next, we can subtract 13 from both sides of the equation:
2x + 13 - 13 = 17 - 13
This simplifies to:
2x = 4
Finally, we can divide both sides of the equation by 2 to solve for x:
(2x) / 2 = 4 / 2
This simplifies to:
x = 2
So the solution to the equation x + 13 = 17 - x is x = 2.
To solve the equation x + 13 = 17 - x, we need to isolate the variable x on one side of the equation.
Step 1: First, let's combine like terms.
On the left side, we have x + 13. There are no like terms to combine since x and 13 are not of the same type.
On the right side, we have 17 - x. Again, there are no like terms to combine since 17 and x are not of the same type.
Step 2: Now, let's choose the appropriate property to proceed with solving the equation.
In this case, to isolate the variable x, we need to use the addition/subtraction property. The addition/subtraction property states that if we add or subtract the same value from both sides of an equation, the equation remains balanced.
Since we have x terms on both sides of the equation, we want to eliminate one of them by adding or subtracting it. In this case, we can choose to subtract x from both sides.
Subtracting x from both sides of the equation: (x + 13) - x = (17 - x) - x
On the left side, x - x cancels out, leaving us with 13.
On the right side, we have 17 - x - x, which simplifies to 17 - 2x.
So, after applying the addition/subtraction property, the equation becomes: 13 = 17 - 2x
Step 3: At this point, the equation has been simplified. If you have any further steps or solutions related to this equation, please provide more details.