Question

10(x – 3) = 5(3x – 8)
@StudyGurl14

Answer 1

Okay, so this one might look a little trickier, but it really isn't. All you have to do is apply the distributive property.

Answer 2

Okay i tried but i don't come up with the same answers as the 4 listed

Answer 3

A. x = 2
B. x = 10
C. x = –2
D. x = –10

Answer 4

c: -2
d: -10

Answer 5

Okay, so your first step would be to distribute the 10 to the x and -3 inside the parentheses.
You would get what?

Answer 6

10x and -30

Answer 7

I thought it was 10x - 30 to begin with how do you tell the difference?

Answer 8

correct

Answer 9

both are correct.
So now you have,
10x - 30 = 5(3x - 8)

Answer 10

You can distribute the 5 to the 3x -8 as well. What would that give you?

Answer 11

15x and -40

Answer 12

right

Answer 13

so now you have
10x - 30 = 15x - 40
now we have a very similar problem to what we did last time. What's the next step?

Answer 14

isolateing the variable

Answer 15

true. we do need to isolate the variable. What's the next step towards achieving that?

Answer 16

25x - 30 = -40 right?

Answer 17

This is the part that gets me when i add the variables.

Answer 18

I don't know which to add too.

Answer 19

Um...not exactly.

Answer 20

Here's what we'll do. We'll move the -30 to the right side, and the 15x to the left side, ok?

Answer 21

What's the opposite of -30?

Answer 22

Okay

Answer 23

30

Answer 24

right

Answer 25

so you want to add 30 to both sides of the equation. What do you get?

Answer 26

10x - 70 = -15x

Answer 27

Um...no.

Answer 28

10x - 30 = 15x - 40
+ 30 + 30
_____________________
10x + 0 = 15x - 10

Answer 29

Which simplifies into
10x = 15x - 10

Answer 30

Now, we want to move the 15x to the left side of the equals sign. How do we do that?

Answer 31

combining both like terms of 10 and 15x

Answer 32

right. First though, what's the opposite of 15x?

Answer 33

-15x

Answer 34

correct. we need to subtract 15x from both sides of the equation in order to move the 15x from the right to the left. This gives you:
10x - 15x = 0 - 10
-5x = -10

Answer 35

What now?

Answer 36

10 divided by -5

Answer 37

-10 divided by -5, correct. Which is?

Answer 38

2

Answer 39

Thing is i was assigned this without being explained all these proccesses so i had to learn it all from a really old text book with some pages missing sorry for troubling you.

Answer 40

It's fine. You aren't troubling me.
So then the answer is x = 2