Question

Solve the following equation: x-6=7(x-3)

Answer 1

Where are you having a problem?

Answer 2

well im not sure what i do first

Answer 3

PLZ @ParthKohli help him

Answer 4

PLZ NOBODY ANSWER EXCEPT @ParthKohli

Answer 5

You should start by distributing in the right-hand side.

Answer 6

Have you heard of the distributive property?

Answer 7

yes

Answer 8

So can you distribute 7 into \(x - 3\)?

Answer 9

im not sure

Answer 10

Hint:\[7(x - 3) \implies 7(x) - 7(3) \]

Answer 11

yes it can be

Answer 12

So simplify \(7(x) - 7(3)\), please?

Answer 13

be comes 7x-21

Answer 14

Yep. Now, we have\[x - 6 = 7x - 21 \]Everybody hates Math, so we have to perform some magic to get \(x\) on one side and the rest of the friends on other.

Answer 15

\(x\) is not liked by people, and we have three friends:\[x - 6 = 8\]We'll add 6 to both sides\[x - 6 + 6 = 8 +6 \]Because \(-6 + 6\) is zilch, we'd just cancel it out because it doesn't make sense to keep extra numbers when you could just remove them.\[ x = 8 + 6\]\[x = 14 \]

Answer 16

That was just an example, anyway.
What you have to do is get the \(x\) alone on one side.\[x - 6 = 7x - 21 \]Think of some possible ways you could do so.

Answer 17

Hint: You may add 6 to both sides :)

Answer 18

dont it become x=7x-15?

Answer 19

Yeah, it does.
Now what you gotta do is get the -15 alone too, because you want an answer like\[x = \text{some number} \]

Answer 20

Can you subtract 7x from both sides?

Answer 21

yea and you get 6x=-15 , i think

Answer 22

You were almost right.\[x - 7x = -15 \]\[ -6x = -15\]Notice that negative sign there.

Answer 23

ooh, i thought it was negative but i wasnt sure, but dont i divide -6 nd -15

Answer 24

Yes, you do. But you can make it easier by cancelling the negative from both sides:\[\cancel{-}6x = \cancel-15\implies 6x = 15 \]

Answer 25

Now you divide 6 from both sides to get \(x\) alone.

Answer 26

which makes x=2.5

Answer 27

Yes, that is right.

Answer 28

thanks alot :D

Answer 29

I have some things for you to note. Are you busy?

Answer 30

Okay. Gotta have food. Will message you in some time :D