Question

I am doing proportions.fan/medal!
Solve For x.

Answer 1

q
http://static.k12.com/bank_packages/files/media/mathml_4e4b771dc441f5622f11f244160ba4c4cabbff88_1.gif

Answer 2

@iGreen

Answer 3

@BlossomCake

Answer 4

@phi

Answer 5

@sleepyjess

Answer 6

I think x = 2

Answer 7

there are a few strategies.
If you are given choices for x, try out each value for x.
if the left equals the right side, you found the answer.

Answer 8

the other way is to cross multiply, and solve for x

Answer 9

@phi i have alredy cross multiplied and got confused. can you please show me how i am doing it wrong?

Answer 10

first, write down what is being multiplied (but don't do the multiplication)
just write it down

Answer 11

14*2x
and
8*3x+1

Answer 12

ok, except is 8 times the "whole top"
you get 8 times (3x+1)
you have to put 3x+1 in parens (think of it as a "package" with stuff in it)
and you want 8 packages.

Answer 13

ok

Answer 14

so you have
8*(3x+1) = 14*2*x

on the right, you can do the 2*14

on the left you have 8 "packages"
if you had a package with a spoon and a fork in it. 8 packages means 8 spoons and 8 forks
same idea here 8(3x+1) means 8*3x + 8*1

Answer 15

oh ok

Answer 16

can you write down what we have so far?

Answer 17

yes

Answer 18

as an equation

Answer 19

sorry no

Answer 20

that is the part that confuses me

Answer 21

but i will try

Answer 22

8*(3x+1) = 14*2*x

what is the right side simplify to ?

Answer 23

14*2 = 28*x

Answer 24

ok , that means we now have 8*(3x+1) = 28x (we don't usually bother to show the multiply sign so 28*x is written 28x) now the left side. remember it means 8 times each thing inside the parens

Answer 25

ok so 8*3 = 24 + 8*1 = 32

Answer 26

almost.
3x means 3*x
you can't drop the x
try again, using the same idea, but keep the x

Answer 27

so it would be 32x?

Answer 28

no, don't do any adding. just show the terms being added with a plus sign

Answer 29

ok

Answer 30

just do the 8 times each term

Answer 31

8*3*x + 8*1?

Answer 32

that all = 32*x

Answer 33

yes, exactly
8*3*x + 8*1

can you simplify the 3*8 part ? and the 8*1 part ?

Answer 34

3*8 = 24 and 8*1 = 8

Answer 35

but it would also be 24*x

Answer 36

that means
8*3*x + 8*1
can be written
24*x + 8

now you should learn , for example, that 1*x + 1 is not 2
it is x+1

when we add letters and numbers, the best we can do is put a plus in between them
for example
add "x" to 3
x+3
that is a simple as we can make it.

Answer 37

so far we have
8*(3x+1) = 14*2*x
24x + 8 = 28x

ok so far ?

Answer 38

yes

Answer 39

now we want the terms with "x" in them all on the same side of the equal sign
we can do that by adding -24 x to both sides, like this
-24x + 24x + 8 = 28x - 24x

on the right side you have 28 x's take away 24 x's. How many x's on the right side ?

Answer 40

-24x + 24x + 8 = 28x - 24x

look only at this part: 28x - 24x

Answer 41

oh wait xD 2

Answer 42

if it helps: if you have 28 horses and take away 24 horses, how many horses do you have ?

Answer 43

4

Answer 44

4 horses

use the same idea with 28 x's take away 24 x's

Answer 45

so there will be 4 x's left?

Answer 46

yes, you write that 4x

Answer 47

4x means 4 times x or x+x+x+x (4 x's)

Answer 48

4*x

Answer 49

so now we have
-24x + 24x + 8 = 28x - 24x
-24x + 24x + 8 = 4x

on the left side you have 24 x's take away 24 x's . how many x's on the left side ?

Answer 50

0x

Answer 51

yes and 0x is the same as 0*x and 0 times anything is 0
so
0 + 8 = 4x
or
8= 4x
divide both sides by 4 to get
8/4 = (4/4) x

Answer 52

x = 2?

Answer 53

yes

notice that 4 divided by 4 is 1
so
8/4 = 1*x
and 1 times anything is the anything, so
8/4 = x

of course 8/4 is 2
2=x
or
x=2

Answer 54

x=2

Answer 55

once you get the idea, practice helps

Answer 56

:D thanks for you time and help