anonymous
  • anonymous
2(4x-4)+2(3x+2)=360 how do i do this step by step?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
8x - 8 + 6x + 6 = 360 ok?
anonymous
  • anonymous
Solve for x: 2 (3 x+2)+2 (4 x-4) = 360
anonymous
  • anonymous
it would be 6x+6+8x+8

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anonymous
  • anonymous
Factor the polynomial, 4 x-4.
anonymous
  • anonymous
im just afraid I'm doing it wrong with combining the like terms
anonymous
  • anonymous
No,No!you are doing it wrong!
anonymous
  • anonymous
Solve for x: 2 (3 x+2)+2 (4 x-4) = 360 Factor the polynomial, 4 x-4. Factor 4 from the polynomial 4 x-4: 2 (3 x+2)+2×4 (x-1) = 360 Multiply 2 and 4 together. 2×4 = 8: 2 (3 x+2)+8 (x-1) = 360 Distribute 2 over 3 x+2. 2 (3 x+2) = 6 x+4: 6 x+4+8 (x-1) = 360 Distribute 8 over x-1. 8 (x-1) = 8 x-8: 8 x-8+6 x+4 = 360 Group like terms in 8 x+6 x-8+4. Grouping like terms, 8 x+6 x-8+4 = (6 x+8 x)+(4-8): (6 x+8 x)+(4-8) = 360 Add like terms in 6 x+8 x. 6 x+8 x = 14 x: 14 x+(4-8) = 360 Evaluate 4-8. 4-8 = -4: 14 x+-4 = 360 Factor the polynomial, 14 x-4. Factor 2 from the polynomial 14 x-4: 2 (7 x-2) = 360 Divide both sides by a constant to simplify the equation. Divide both sides of 2 (7 x-2) = 360 by 2: (2 (7 x-2))/2 = 360/2 Any nonzero number divided by itself is one. 2/2 = 1: 7 x-2 = 360/2 Reduce 360/2 to lowest terms. The gcd of 360 and 2 is 2, so 360/2 = (2×180)/(2×1) = 2/2×180 = 180: 7 x-2 = 180 Isolate terms with x to the left hand side. Add 2 to both sides: 7 x+(2-2) = 180+2 Look for two terms that sum to zero. 2-2 = 0: 7 x = 180+2 Evaluate 180+2. 180+2 = 182: 7 x = 182 Solve for x. Divide both sides of 7 x = 182 by 7: (7 x)/7 = 182/7 Any nonzero number divided by itself is one. 7/7 = 1: x = 182/7 Reduce 182/7 to lowest terms. The gcd of 182 and 7 is 7, so 182/7 = (7×26)/(7×1) = 7/7×26 = 26: Answer: | | x = 26
anonymous
  • anonymous
6x+4 my bad
anonymous
  • anonymous
whoa lol
anonymous
  • anonymous
@zkrup , Don't Give him the answer!
anonymous
  • anonymous
Show him the steps!
anonymous
  • anonymous
I don't want the answer I just need help with the step
anonymous
  • anonymous
OK,I will help you...
anonymous
  • anonymous
thank you
anonymous
  • anonymous
2(4x-4)+2(3x+2) = 8x - 8 + 6x + 2
anonymous
  • anonymous
ok?
anonymous
  • anonymous
yes
anonymous
  • anonymous
do we subtract 6x on each side?
anonymous
  • anonymous
@PFEH.1999 Do you not see all those steps?
anonymous
  • anonymous
and it is: 8(x - 1) + 6(x + 2)
anonymous
  • anonymous
@zkrup !but you gave him the answer!
anonymous
  • anonymous
hes just helpin
anonymous
  • anonymous
@PFEH.1999 But I showed him how to get it.
anonymous
  • anonymous
ok,ok I know!he helped well!
anonymous
  • anonymous
but he shouldn't give the answer...
anonymous
  • anonymous
omg can we stop this lol
anonymous
  • anonymous
ik im talking about you
anonymous
  • anonymous
did you understand this? 8(x - 1) + 6(x + 2)
anonymous
  • anonymous
so do I add the like terms now?
anonymous
  • anonymous
no :/
anonymous
  • anonymous
ok,so i should show you another way...
anonymous
  • anonymous
is it 8 times x and 1 + 6 times x +2
anonymous
  • anonymous
plese forgot that :) 8x - 8 + 6x + 2 = 360 --> 8x + 6x = 8 -2 + 360
anonymous
  • anonymous
ok?
anonymous
  • anonymous
yes
anonymous
  • anonymous
8 - 2 + 360 = ? say...
anonymous
  • anonymous
366
anonymous
  • anonymous
ok,and this one? 8x + 6x = ?
anonymous
  • anonymous
14x
anonymous
  • anonymous
oh sorry,It was 8 - 6 + 360 not 8 -2 + 360 ... and x = 362 / 14
anonymous
  • anonymous
really I though there were re steps?
anonymous
  • anonymous
i'll do it again just to make sure I got it and thanks a lot!
anonymous
  • anonymous
ok do it...perhaps i made some mistakes :)
anonymous
  • anonymous
I think we forgot some last steps but its ok i'll finsh it gtg though thanks you very much
anonymous
  • anonymous
2(4x-4)+2(3x+2)=360 Distribute the number outside the parenthesis to the number inside the parenthesis. Basically, you multiply the number outside the parenthesis by EACH number inside the parenthesis. 8x-8+6x+4=360 Now, Combine like terms. 8x+6x & -8+4 14x-4=360 +4 +4 Separate the variable. So you add +4 on both sides to get variable alone. 14x=364 Isolate the variable. Divide by 14 on both sides, so that in the end... It's JUST x. x=26
anonymous
  • anonymous
@FilthyMcNasty , solved it correct :)

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