- anonymous

HELP ME
Solve 4(2x − 1) − 3 = 9(x − 4).
−29
32
13
29

- katieb

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- UsukiDoll

distribute 4(2x − 1) and 9(x − 4). first

- anonymous

okay 6x-4*1???? and 9x*9*4

- anonymous

i meant - in the middle of the second one

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## More answers

- UsukiDoll

o-o distribute means to multiply
what is 4 times 2x and what is 4 x 1 ?

- anonymous

8x and 4

- UsukiDoll

and 4 times 1
similarly what is 9 times x and 9 x 4
9(x − 4)

- UsukiDoll

ack ignore first sentence...

- anonymous

lol 9x and 36

- UsukiDoll

4(2x − 1) − 3 = 9(x − 4).
8x-4-3=9x-36

- UsukiDoll

so we need to clean this up a bit ... what is -4-3?

- anonymous

-7

- UsukiDoll

yay
8x-4-3=9x-36
8x-7=9x-36
now I need to have all x's to the left... what do we need to do next?

- anonymous

add 36??

- UsukiDoll

umm yeah but we're not there yet...
let's have all x's to the left first .

- UsukiDoll

which terms have x in them?

- UsukiDoll

8x-7=9x-36

- anonymous

8x and 9x

- UsukiDoll

yes... and we need all variables (that is the letters) to the left
since 8x is already on the left... what do we need to do to have 9x on the left?

- anonymous

add?

- UsukiDoll

ummm no we need to get rid of the 9x on the right
so we do what to both sides?

- anonymous

divviidddee?? No, subtracct.. No, divide.

- UsukiDoll

we don't do division...we do subtraction

- UsukiDoll

so we subtract 9x on both sides
8x-7-9x=9x-9x-36
the 9x on the right should go to 0
then we rewrite this

- UsukiDoll

8x-9x-7=-36

- UsukiDoll

what is 8x-9x ?

- anonymous

-1x

- mathstudent55

@Marianakay456
On the right side you have 9x - 36
Think of it as
+ 9x - 36
The 9x is being added to the right side, the 36 is being subtracted from the right side.
Since you want to get rid of the +9x from the right side, you subtract 9x from both sides.

- UsukiDoll

yeah
-x-7=-36
now I need all numbers to go on the right... what do we need to do to the 7?

- anonymous

add?

- UsukiDoll

yes we add 7 to both sides
-x-7+7=-36+7
-x = -36+7

- UsukiDoll

what is -36+7 ?

- anonymous

-29

- UsukiDoll

-x = -29
yes... there is one more step though....what is it?

- anonymous

do we make it positive? lol idk

- UsukiDoll

yeah we make it positive by dividing ???????? because I want x = ? to be my final answer

- anonymous

-29?

- anonymous

so the answer is +29 or just 29

- UsukiDoll

-x = -29
how to make this positive.... we use division .. divide by ??? to have x = ?

- anonymous

is D correct? 29 or +29?

- mathstudent55

-x means -1 * x
divide both sides by ...

- anonymous

-1

- UsukiDoll

please understand the last step before choosing the answer
-x=-29
there is a step missing.

- UsukiDoll

division is required... divide ____________ on both sides

- anonymous

we need to divide by -1

- UsukiDoll

yes on both sides

- anonymous

OKK. we end up with DUNDUNDUN my answer, D

- UsukiDoll

yeah

- anonymous

thanks

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