2(3x-7)+4(3x+2)=6(5x+9)+3

- anonymous

2(3x-7)+4(3x+2)=6(5x+9)+3

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- dumbcow

distribute and combine like terms

- anonymous

then move your x's to a side and your constants to the other side

- anonymous

can you please show me how? I am so confused

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## More answers

- dumbcow

2(3x+7)
multiply the 2 to each term inside the parenthesis
2*3x + 2*7
6x + 14
do that for each one

- anonymous

so the next one would be 4x3+4x2 = 12x+8

- dumbcow

good

- anonymous

the next is 6x5+6x9 = 30x+54

- dumbcow

good
now add terms that have the same variable
ex:
2x-4x = -2x
you cant add constants with x's

- dumbcow

i just noticed i messed up on the first one
it should be 6x-14

- anonymous

I saw its okay. I wrote it down as subtraction

- anonymous

so my problem now shows 6x-14+12x+8=30x+54+3 right

- dumbcow

correct

- anonymous

6x+12x+30x = 48x

- anonymous

If I put the x's together

- dumbcow

almost dont forget theres an "=" sign separating them
so add 6x+12x = 18x
but keep 30x on other side for now

- anonymous

okay so then it becomes......6x+12x=18x+30x+54

- anonymous

6x-12

- anonymous

ugh....no its.....18x-14+12=30x+54+3

- dumbcow

good
now add the constants together on both sides

- anonymous

18x+26=30x+57

- dumbcow

the +12 should be+8

- dumbcow

and the 14 is negative

- anonymous

-14+12= -2

- dumbcow

correct but it should -14+8
i think you just copied it down wrong

- anonymous

oops...my problems got mixed up some how.....let me back up. It should be 18x-14+8=30x+54+3

- dumbcow

correct

- anonymous

okay so now I get......18x-6=30x+57

- dumbcow

correct

- dumbcow

now we want to combine terms from the other side of the equal sign
lets add 6 to both sides
this works because -6+6=0 on left side

- anonymous

so left side is just now 18x=30x+57+6 which is 8x=30x+63

- dumbcow

very good now to get all the x's on the left we should do what?

- anonymous

would I subtract them since the left side was subtracting??

- dumbcow

yes, the goal is to cancel the x's on the right

- dumbcow

30x-30x =0

- anonymous

18x=63 thats what I am left with right?

- dumbcow

remember before we added 6 to both sides
same here whatever you do to one side you do to the other
so we have to subtract 30x on the left too

- anonymous

12x=63

- dumbcow

watch out for your signs (18-30=-12)
2/2 = 1
-4/-4 =1
so if we divide a num by itself we always get 1 and the goal is to have 1x on the left side but right now we have -12 so have to divide by -12 on both sides

- anonymous

x=63/12

- anonymous

so if we divide 63 by 12 it comes to 5.25. so x=5.25

- dumbcow

almost watch those signs
its negative but yes the number is correct :)

- anonymous

thank you!

- dumbcow

your welcome
remember those steps

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