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

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

Mathematics
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distribute and combine like terms
then move your x's to a side and your constants to the other side
can you please show me how? I am so confused

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Other answers:

2(3x+7) multiply the 2 to each term inside the parenthesis 2*3x + 2*7 6x + 14 do that for each one
so the next one would be 4x3+4x2 = 12x+8
good
the next is 6x5+6x9 = 30x+54
good now add terms that have the same variable ex: 2x-4x = -2x you cant add constants with x's
i just noticed i messed up on the first one it should be 6x-14
I saw its okay. I wrote it down as subtraction
so my problem now shows 6x-14+12x+8=30x+54+3 right
correct
6x+12x+30x = 48x
If I put the x's together
almost dont forget theres an "=" sign separating them so add 6x+12x = 18x but keep 30x on other side for now
okay so then it becomes......6x+12x=18x+30x+54
6x-12
ugh....no its.....18x-14+12=30x+54+3
good now add the constants together on both sides
18x+26=30x+57
the +12 should be+8
and the 14 is negative
-14+12= -2
correct but it should -14+8 i think you just copied it down wrong
oops...my problems got mixed up some how.....let me back up. It should be 18x-14+8=30x+54+3
correct
okay so now I get......18x-6=30x+57
correct
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
so left side is just now 18x=30x+57+6 which is 8x=30x+63
very good now to get all the x's on the left we should do what?
would I subtract them since the left side was subtracting??
yes, the goal is to cancel the x's on the right
30x-30x =0
18x=63 thats what I am left with right?
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
12x=63
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
x=63/12
so if we divide 63 by 12 it comes to 5.25. so x=5.25
almost watch those signs its negative but yes the number is correct :)
thank you!
your welcome remember those steps

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