2(4x-4)+2(3x+2)=360
how do i do this step by step?

- anonymous

2(4x-4)+2(3x+2)=360
how do i do this step by step?

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- anonymous

8x - 8 + 6x + 6 = 360
ok?

- anonymous

Solve for x:
2 (3 x+2)+2 (4 x-4) = 360

- anonymous

it would be 6x+6+8x+8

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## More answers

- anonymous

Factor the polynomial, 4 x-4.

- anonymous

im just afraid I'm doing it wrong with combining the like terms

- anonymous

No,No!you are doing it wrong!

- 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

6x+4 my bad

- anonymous

whoa lol

- anonymous

@zkrup , Don't Give him the answer!

- anonymous

Show him the steps!

- anonymous

I don't want the answer I just need help with the step

- anonymous

OK,I will help you...

- anonymous

thank you

- anonymous

2(4x-4)+2(3x+2) = 8x - 8 + 6x + 2

- anonymous

ok?

- anonymous

yes

- anonymous

do we subtract 6x on each side?

- anonymous

@PFEH.1999 Do you not see all those steps?

- anonymous

and it is:
8(x - 1) + 6(x + 2)

- anonymous

@zkrup !but you gave him the answer!

- anonymous

hes just helpin

- anonymous

@PFEH.1999 But I showed him how to get it.

- anonymous

ok,ok I know!he helped well!

- anonymous

but he shouldn't give the answer...

- anonymous

omg can we stop this lol

- anonymous

ik im talking about you

- anonymous

did you understand this?
8(x - 1) + 6(x + 2)

- anonymous

so do I add the like terms now?

- anonymous

no :/

- anonymous

ok,so i should show you another way...

- anonymous

is it 8 times x and 1 + 6 times x +2

- anonymous

plese forgot that :)
8x - 8 + 6x + 2 = 360
--> 8x + 6x = 8 -2 + 360

- anonymous

ok?

- anonymous

yes

- anonymous

8 - 2 + 360 = ?
say...

- anonymous

366

- anonymous

ok,and this one?
8x + 6x = ?

- anonymous

14x

- anonymous

oh sorry,It was 8 - 6 + 360 not 8 -2 + 360 ...
and x = 362 / 14

- anonymous

really I though there were re steps?

- anonymous

i'll do it again just to make sure I got it and thanks a lot!

- anonymous

ok do it...perhaps i made some mistakes :)

- anonymous

I think we forgot some last steps but its ok i'll finsh it gtg though thanks you very much

- 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

@FilthyMcNasty , solved it correct :)

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