Step 1: 3x+4−2x+9=17−x
A. Distributive property
B. Addition/Subtraction property
C. Multiplication/Division Property
D. Combine Like Terms
D. Combine Like Terms
To solve the given equation "3x+4−2x+9=17−x," we can go through the following steps:
Step 1: Identify and combine like terms.
By looking at the equation, we can see that the terms involving "x" are: +3x, -2x, and -x. To combine these like terms, we add them together:
3x - 2x - x + 4 + 9 = 17
Now, we have the equation: 0x + 13 = 17
This simplifies to: 13 = 17
Since these two numbers are not equal, this equation has no solution.
To solve the equation 3x + 4 - 2x + 9 = 17 - x, we need to go through a few steps:
Step 1: Simplify both sides of the equation by combining like terms.
On the left side of the equation, we have 3x - 2x, which simplifies to x. And on the right side of the equation, we have -x. So, the equation becomes:
x + 4 + 9 = 17 - x
Step 2: Simplify further by combining like terms on both sides.
On the left side of the equation, we have x + 4 + 9, which simplifies to x + 13. And on the right side of the equation, we have 17 - x. So, the equation becomes:
x + 13 = 17 - x
Step 3: Now, we can simplify further by getting rid of the -x on the right side of the equation. We can do this by adding x to both sides of the equation:
x + x + 13 = 17 - x + x
Simplifying further, we have:
2x + 13 = 17
Step 4: To isolate x on one side of the equation, we can subtract 13 from both sides:
2x + 13 - 13 = 17 - 13
Simplifying, we have:
2x = 4
Step 5: Finally, to solve for x, we divide both sides of the equation by 2:
(2x)/2 = 4/2
Simplifying, we have:
x = 2
So, the solution to the equation 3x + 4 - 2x + 9 = 17 - x is x = 2.
The step used to combine like terms in the equation was Option D: Combine Like Terms.