how to do 3/4(8+4x)-1/3(6x+3)=9?

Question

please explain step by step

Answer 1

3/4(8+4x)-1/3(6x+3)=9 =>3(2+x)-1(2x+1)=9 (here the term 8+4x has been divided by 4 and 6x+3 has been divided by 3) =>6+3x-2x-1=9 =>3x-2x=9-6+1 =>x=4 ans,

Answer 2

x means multiply
X means the letter/variable


first distribute things in the parenthesis
[this is the first part of the equation]
3/4(8 + 4x)
so then.. (3/4 x 8) + (3/4 x 4X)
= 24/4 + 12X/4
= 6 + 3X

[this is the second part of the equation]
-1/3(6x + 3)
so then.. (-1/3 x 6X) + (-1/3 x 3)
= -6X/3 plus.. -3/3
= -2X + -1
which you just change to -2X - 1


>>>therefore.
6 + 3X - 2X - 1 = 9
put the ones that are just numbers together
and put the ones with X together
whatever sign (plus or minus) is in front of a certain number stayyss with that number!
so... here ill break it down:
6 - 1 = 5 (which is just the numbers)
3X - 2X = 1X whichh equals just X cuz 1 times ? is always gona equal whatever ? was (which is just the numbers with X's)


now im taking those two answers from above and putting them together:
5 + X = 9

then you want all the numbers on one side.
and all the X's on one side
X = 9 - 5

k now solve it..
X = 4


o yess :D there we go.
hope that helps :)
i tried to simplify enough.
bestanswer material?

Answer 3

First thing you need to do is distribute and reduce:
3/4 times 8 will give you 6 because 8/4 is 2 and 2 times 3 is 6. You'll use this same process all the way thru the prob, and you'll get:
6 + 3x - 2x - 1 = 9

Now it should be easy for you to finish.

Answer 4

you do 3/4 of 8 which is 6 + 3/4 of 4x which is 3x...so thats (6+3x). then you distribute the -1/3 so its (-2x-1). now you add those. you should get 5+x=9. now you subtract 5 from 9 and get x=4. thats your answer.