Question

Solve: 4(x + 6) = 6(x − 2)

plesase answer it , and if you can explain how you got that it would be great ..

Answer 1

first use the distributive property
multiply the 4 times each term inside the parens

Answer 2

for example 4(x+6) means 4 times x plus 4 times 6
can you do that?

Answer 3

4x6 = 24 ? like that ?

Answer 4

you start with
4(x + 6) = 6(x − 2)

now on the left side of the = sign
do 4 times x plus 4*6
you get
4x+24= 6(x-2)

can you do the right side (multiply 6 times each term inside the parens)

Answer 5

6x2 = 12 ? 6times X = 6x ?

Answer 6

what is 6*x?

Answer 7

6x ?

Answer 8

what is 6* -2?

Answer 9

-12

Answer 10

what is 6*(x-2) ?

Answer 11

Not getting it ? 6times -2 = -12 and 6times X = 6X

Answer 12

yes, but added together
what is 6*(x-2) ?

Answer 13

-12 - 6x ?

Answer 14

where did you get -6x isn't 6*x just 6x
what is 6*(x-2) ?

Answer 15

I thought it was -12 minus 6x ?

Answer 16

what is 6*(x-2) ?

Answer 17

6x and -12

Answer 18

people don't say and when they mean plus
what is 6*(x-2) ?

Answer 19

6x + -12

Answer 20

ok, so we started with
4(x + 6) = 6(x − 2)

we distribute the 4 (on the left) and the 6 on the right to get
4x+24= 6x + -12

next, add 12 to both sides of the equation.

Answer 21

Where do i add the 12 ?

Answer 22

to both sides of the equation

Answer 23

4x+24= 6x + -12
add 12 to the left side and to the right side of the = sign

Answer 24

so you will end up with 4x +36=6x

Answer 25

then move your 4x to the other side and you get 36=6x-4x

Answer 26

4x+36

Answer 27

@maktaopvp write out the full equation, with the = sign
4x+24= 6x + -12
add 12 to the left side and to the right side of the = sign

Answer 28

then add the -4x +6x and you get 36=2x then divide by 2 on each side

Answer 29

4x+36=18x+-12 ?

Answer 30

you need to add 12 to both sides where is the +12 on the right side?

Answer 31

Okay i add 12 to the 24 and where else ?

Answer 32

on the right side of the = sign

Answer 33

so to the 6x ?

Answer 34

yes, but write out the whole equation

Answer 35

4x + 36 = 18 + -12 ??

Answer 36

you start with
4x+24= 6x + -12

add +12 to both sides. NOTE: 6x+12 is not 18 and it is not 18x.
just write +12 on both sides

Answer 37

4x + 24 +12 = 6x + -12 +12 ??

Answer 38

yes.
now you can add the "pure numbers" (the terms without the x)
what do you get? (Write out the whole equation)

Answer 39

4x + 36= 6x and 12- + 12 = 0 ?

Answer 40

yes, you get
4x + 36= 6x
(because 12-12 = 0)

now add -4x to both sides

just write -4x on both sides

Answer 41

4x + 36 + -4 = 6x + -4 ?

Answer 42

no, not -4, -4x (the x is important)

Answer 43

so its 4x + 36 + -4 = -4x ?

Answer 44

its very easy
4x +24 = 6x-12
-2x=-36
x=18

Answer 45

4x + 36= 6x

write -4x on both sides

Answer 46

4x + 36 -4x = 6x -4x ?

Answer 47

yes

now on the left side
if you have 4 x's and you take away 4 x's, how many x's do you have?

Answer 48

0

Answer 49

so the left side is just 36 (because 4x-4x =0 and 36+0 is 36)

36= 6x-4x

what is the right side?

Answer 50

2x?

Answer 51

yes, but write out the whole equation

Answer 52

36= 2x

Answer 53

OK, if 2 x's are 36 how much is 1 x?

Answer 54

18

Answer 55

x=18
is the answer.

the way to do it is
36=2x

divide both sides by 2
36/2 = 2x/2
18=x

Answer 56

ahh okay thanks alot

Answer 57

If you go over what we did, you might be able to solve other problems like this one.

Answer 58

please dont be so hyper