Question

What is the value of x that satisfies the equation below


7x + 28 = -14

Answer 1

This is what we call a one step equation

the number we replace x with would make the answer, -14, true

What we have to do in the equation is get the variable by ITSELF

Answer 2

Divide?

Answer 3

Meaning you would subtract 28 from both sides

Answer 4

OHHH THIS THING

Answer 5

No ma'am

We have to do Inverse Operations

Answer 6

"this thing" is called inverse operations

Answer 7

ONE SECOND

Answer 8

Nevermind lol

Answer 9

Continue.

Answer 10

Ofc

Inverse operations is when we do something on one side, we do it on the other as well

Answer 11

So, as I have said

we have to get the variable by itself

To do so, we subtract 28 from both sides including by itself

28 - 28 cancels out

and -14 - 28 would equal -42

Answer 12

And now, we simplify (:

the equation now would be 7x = -42

Answer 13

The reason we SUBTRACT 28 and not divide, or add, or multiply is because - it's literally in the name- *Inverse* Operation

28 is a positive number ( + 28)

meaning you would subtract instead

Answer 14

Based on the knowledge i have given you about Inverse Operations

What do you think the next step is with

7x = -42

Answer 15

Remember, the goal is to get the variable by itself and currently it isnt by itself

keyword: INVERSE

Answer 16

What next

Answer 17

7x = -42

As i have said, we have to get x by itself

When a variable is next to a whole number(7x) it's referring to the operation of multiplication

What's the opposite of multiplication?

Answer 18

Division

Answer 19

Correct!

7x = -42

What we do on one side, we do on the other

7 divided by itself cancels out so we have x by itself

-42 divided by 7 equals -6 as when dividing or multiplying, the sign stays the same (:

Your answer is :

x = -6

Answer 20

OHHHH THANK YOU AGAIN

Answer 21

Small Review (:

This equation is a one step equation

we use inverse operations to solve it

what we do on one side, we do on the other

what we have to do is get x by itself

Answer 22

You're Welcome (: