To solve the equation: 24(34+x)=1,200

24
(
34
+
x
)
=
1
,
200
, give the reasons for each of the given steps.

What was done to the previous step to get to the current equation?

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1: 816+24x=1,200
Step 2: 816−816+24x=1,200 − 816
Step 3: 24x=384
Step 4: x=16

Distributive property

Subtraction as the inverse operation to isolate the variable

Combine like terms

Addition as the inverse operation to isolate the variable

Multiplication as the inverse operation to isolate the variable

Division as the inverse operation to isolate the variable

1 answer

Step 1: Distributive property - The equation is simplified by multiplying 24 with both terms inside the parentheses.

Step 2: Combine like terms - 816 and -816 cancel each other out, leaving 24x on one side of the equation and 1,200 - 816 on the other side.

Step 3: Subtraction as the inverse operation to isolate the variable - 816 is subtracted from both sides of the equation to isolate the 24x term.

Step 4: Division as the inverse operation to isolate the variable - The equation is divided by 24 on both sides to solve for x.