welcome to math with mr. J in this video

we're going to discuss how to solve

one-step equations and as you can see

there are six problems on your screen

that we're going to go through in order

to get this down now up top I have a

hint we need to remember as we go

through these problems so we're going to

do the opposite or inverse operation of

whatever is being done to the variable

in order to get the variable by itself

now that may not make any sense at first

but as we go through these problems

you'll start to see what I mean by that

again main goal is getting the variable

by itself and just to reiterate inverse

means opposite it means to do the

opposite so addition the inverse would

be subtraction multiplication the

inverse would be division so let's jump

right into number one here and see how

we solve one-step equations so for

number one we have X minus six so we

need to take a look at what we're doing

to the variable X our missing piece and

we're subtracting six so we need to do

the opposite so that would be adding six

so we need to add six to that side and

the reason we do that because we have X

minus six plus six the minus six plus

the six gives us zero essentially

cancelling those sixes out so we're just

left with the X that gives us the X by

itself now in order to keep that

equation balanced we have to do the same

thing to both sides whatever you do to

one side you have to do to the other so

we added six to the left so we need to

add six to the right so 13 plus 6 gives

us 19

so X equals 19 and we always double

check to see if this makes sense and our

answer for the variable is correct so

let's plug in 19 for 19 minus 6 equals

13 and that is true it is correct I'm

even going to come to the side here plug

it in 19 minus 6 equals 13 that is true

so we're good to go

we have the correct answer for what x

equals let's take a look at number 2 we

have K divided by 8 equals 2 so what are

we doing to the variable K well we're

dividing by 8 so we need to do the

opposite to that side to get rid of the

dividing 8 so we need to multiply by 8 K

divided by 8 times 8 while those eights

would equal 0 or cancel out so K is by

itself but whatever we do to one side we

have to do to the other to keep

everything balanced so we get to the

point where K is by itself k equals well

2 times 8 is 16 k equals 16 let's see if

that's true let's plug in 16 for K 16

divided by 8 equals 2 so K indeed does

equal 16 let's take a look at number 3

now here we have the answer on the left

hand side and our variable on the right

that's okay that hat that happens in

algebra sometimes so we're adding 3 to G

so we need to do the opposite to that

side to get G by itself so we need to

subtract 3 and we need to do it to both

sides so we get G equals 13 and I always

like to rewrite with the variable first

G equals 30

team and let's double check does 3 plus

13 equals 16 yes

so we have the correct answer for the

variable number 4 we have 15 equals 5 M

now a number right next to a variable or

a letter means multiplication so we're

multiplying by 5 here so the opposite of

multiplying by 5 would be dividing by 5

that would give us our M by itself and

that I put it in fractional form in

fractions our division here that means

divided by 5 so do it to both sides so

we have the M by itself and then 15

divided by 5 gives us 3 so M equals 3

let's double-check

5 times 3 does equal 15 so we have the

correct answer there number 5 we have 2

r equals 22

so we're multiplying by 2 again number

next to a letter means multiplication so

we need to divide both sides by 2 that

gives us R by itself and 22 divided by 2

equals 11 so R equals 11 let's double

check 2 times 11 does equal 22 so we're

good to go there number 6 11 equals W

divided by 4 so we're dividing by 4 the

opposite would be multiplied by 4 so

let's multiply by 4 to give to get W by

itself and then whatever we do to one

side we need to do to the other in order

to keep everything balanced so we end up

with an answer 44 for the value of W so

W equals 44 and let's double check 44

divided by 4

does equal 11 so we're good to go

number six so there you have it there's

how you solve one-step equations

hopefully you found that helpful until

next time peace