Fill in the blanks to explain what needs to be done in the current step to get to the next step.
Step 1: 3x+4−2x+9=17−x
A. Distributive property
B. Addition/Subtraction property
C. Multiplication/Division Property
D. Combine Like Terms
B. Addition/Subtraction property
In the current step, we need to combine like terms by adding or subtracting the same type of terms to simplify the equation.
A. Distributive property
To get to the next step, you need to use the addition/subtraction property.
Explanation:
Step 1: 3x + 4 - 2x + 9 = 17 - x
In this step, you have an equation with x terms on both sides. To simplify the equation and isolate the x term, you can use the addition/subtraction property. This property allows you to add/subtract the same value to/from both sides of the equation without changing its equality.
By applying the addition/subtraction property, you can gather all the x terms on one side of the equation. You can start by moving the -x term to the left side by adding x to both sides:
3x + 4 - 2x + 9 + x= 17 - x + x
Simplifying, you combine the x terms on the left side:
2x + 4 + 9 = 17
Now you can simplify further by adding the numbers on the left side:
2x + 13 = 17
This completes Step 1, and you'll proceed to the next step.