Question

help @e.mccormick

Answer 1

@amistre64

Answer 2

@Hero @ganeshie8

Answer 3

Distribute into each of your parenthesis, then get the terms with 'x' on the same side, simplify and finally isolate 'x' to obtain the answer. :)

Answer 4

how can you walk me through it please

Answer 5

Sure, how about we break it up into pieces to make it easier to work. Let's start with the left side, \(5(x-6)+2\), the first thing you have to do is distribute your '5' (which is being multiplied) into each of the terms within the parenthesis.
What would you have after doing this?

Answer 6

u multiply it by 6?

Answer 7

@amistre64

Answer 8

@ganeshie8

Answer 9

so that would be 5x and -30?

Answer 10

Exactly. So your left side of the equation now looks like this: \[5x-30+2\] now simplify this side as much as you can.

Answer 11

5x-32?

Answer 12

You have -30+2, or 2-30

Answer 13

i added the 2

Answer 14

Right, but you needed to subtract the 30, giving you a -28 and not -32

Answer 15

ooo ok

Answer 16

So your left side now looks like this: \(5x-28\) we can now work the right side using the same process we just did. So what is the first thing you do with \[7(x+2)-12\]

Answer 17

7x-14?

Answer 18

Close, you do not have a -2, you have a +2, so 7*2=14

Answer 19

The right hand side now looks like this: \(7x+14-12\), simplifying gets you?

Answer 20

7x+2

Answer 21

Exactly, good work.

Answer 22

So the equation now looks like this: \(5x-28=7x+2\), you want to get all the terms with an 'x' on the same side. What is the next step?

Answer 23

subtract something?

Answer 24

Okay, subtract what and from which side?

Answer 25

28 ?

Answer 26

When moving a term from one side to the other, you have to "do" the same thing to each side to avoid changing the equation. If you were to subtract 28 from each side you would get: \(5x-28-28=7x+2-28\) If you simplify this can you see how it changes the equation?

Answer 27

ooo so its 2 right

Answer 28

Yes, subtracting the 2 from each side will give you \(5x-28-2=7x+2-2 \rightarrow 5x-30=7x\)

Answer 29

Now you want to get all the terms with an 'x' on the same side, what's next?

Answer 30

i honestly dont know?

Answer 31

You have a 5x on one side with a -30 and a 7x on the other side all alone. So if you want to get all the 'x' terms together, how would you do it?

Answer 32

subtract 5x?

Answer 33

Yes, perfect. :)

Answer 34

So you now have -30=7x-5x