Question

How many solutions does the equation have?
4(2x+3)=2(3x-4)

Answer 1

start by dividing both sides by 2

Answer 2

A.


one solution


B.


infinite solutions


C.


no solution

Answer 3

is it B

Answer 4

i will metal and fan

Answer 5

again, start by dividing both sides by 2

Answer 6

4(2x+3)/2 = ?

Answer 7

4.5x

Answer 8

nope, not quite

hint:

4(A)/2 = 2(A)
4(2x+3)/2 = ?

Answer 9

2x+3= 5
4*5=20
20/2=10

Answer 10

nope, not quite

2x + 3 is not 5. x is attached to the 2, so you can't put them together

Answer 11

okay so how do i do it

Answer 12

ya

Answer 13

good, now we have

2(2x + 3) = (3x-4)

Answer 14

now let's focus on the left side

2(2x+3) = ?

Answer 15

so it would be 5(2x)

Answer 16

nope, remember what I said before. 2x + 3 is not 5, you can't put them together since x is attached to 2

Answer 17

no the 2 on the other side how do i do it then

Answer 18

hint: we'll be using the distributive property

A(B+C) = A*B + A*C

2(2x + 3) = _________

follow the pattern

Answer 19

4x+5=20x

Answer 20

nope, not quite...

Answer 21

A = 2
B = 2x
C = 3

A*B + A*C = ?

Answer 22

ya so 2*2x=4x right

Answer 23

right, that's part of it, keep going

A*C = ?

Answer 24

2*3=6 right

Answer 25

good, that gives us

2x + 6 = 3x - 4

now subtract 2x from each side

Answer 26

6x=-3x

Answer 27

nope, not quite...

2x + 6 - 2x = ?

Answer 28

2x+6=8x

Answer 29

8x-2x=6x

Answer 30

remember what I said earlier

Answer 31

oh okay

Answer 32

hint: 2x - 2x = ?

Answer 33

0

Answer 34

good, so 2x + 6 - 2x = ?

Answer 35

so it would be 6x

Answer 36

nope, not quite

Answer 37

2x + 6 - 2x = ?

Answer 38

2x +6 = 8x
2x-2x=0
8x+0=8x right

Answer 39

not quite...

we said that 2x - 2x = 0

so 2x + 6 - 2x = ?

Answer 40

hint: what's the difference between

2x - 2x
and
2x + 6 - 2x ?

Answer 41

there is a 6

Answer 42

good, so 2x + 6 - 2x = ?

Answer 43

would it be just 6

Answer 44

yes!

2x - 2x = 0

2x + 6 - 2x = 6

now let's move to the right side

3x - 2x - 4 = ?

Answer 45

i know you probaly dont want to help me because i am dum

Answer 46

don't say that, I'm happy to help anyone in need

Answer 47

3x - 2x = ?

Answer 48

5x

Answer 49

hint:

3 - 2 = 1

3x - 2x = ?

Answer 50

1 imean

Answer 51

1x

Answer 52

good, 3x - 2x = 1x = x

that gives us:

6 = x - 4

now add 4 to each side

Answer 53

6+4=10
-4+4=0

Answer 54

good, so x = 10

there is only one solution, so our answer is A