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.
Step 1: 3x+4−2x+9=17−x
A. Distributive property
B. Addition/Subtraction property
C. Multiplication/Division Property
D. Combine Like Terms
In the current step, we need to combine like terms by adding or subtracting the same type of terms to simplify the equation.
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.