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best answer 10 points

2007-08-13 15:01:04 · 13 answers · asked by Anonymous in Science & Mathematics Mathematics

13 answers

In order to solve this:

9 - 2(x - 8) = 3/5(20x + 5)

Use the distributive property, which states that for numbers a, b, and c:

a(b + c) = ab + ac
a(b - c) = ab - ac

So:

9 - 2(x - 8) = 3/5(20x + 5)
= 9 - 2x + 16 = 12x + 3 <=== Distributive Property

Next, add 9 and 16:

9 - 2x + 16 = 12x + 3
= 25 - 2x = 12x + 3

Now add 2x to both sides and combine like terms:

25 - 2x + 2x = 12x + 3 + 2x
= 25 = 14x + 3

Subtract 3 from both sides:

25 - 3 = 14x + 3 - 3
= 22 = 14x

Finally divide by 14 to solve for x:

22/14 = 14x/14
= 22/14 = x

Simplify 22/14 to get the answer in the simpilest form:

(22/2)/(14/2) = x
= 11/7 = x

This is your answer: 11/7 = x.

Hope this helps!

2007-08-13 15:08:51 · answer #1 · answered by zero_max12 2 · 1 0

2

2007-08-13 15:03:21 · answer #2 · answered by Anonymous · 0 0

9-2(x-8)=(3/5)(20x+5)
add 2(x-8) to both sides

9=(3/5)(20x+5)+2(x-8)
multiply

9=(12/5)x+3+2x-16
add 16 and subtract 3

22=(12/5)x+2x
combine... 12/5 + 10/5

22=22/5x
divide 22 by 22/5

and X=5

2007-08-13 15:33:42 · answer #3 · answered by Mike F 1 · 0 0

Expanding
9-2(x-8)=3/5(20x+5)
9-2x+16=12x+3
Grouping terms gives
22=14x
Simplify the answer
x=11/7
Bask in the glory. :D

2007-08-13 15:07:46 · answer #4 · answered by James 3 · 0 0

9-2(x-8)=3/5(20x+5)
5(-2x + 25) = 60x + 15
-10x + 125 = 60x + 15
70x = 110
x = 11/7

2007-08-13 15:06:37 · answer #5 · answered by gebobs 6 · 0 0

9-2(x-8)=3/5(20x+5)

(5)9-2(x-8)=(5)3/5(20x+5) -always try not to have fractions in equations.
45-10(x-8)=60x+15
45-10x+80=60x+15
-10x+125=60x+15
70x=110
x=110/70
x=11/7

2007-08-13 15:02:58 · answer #6 · answered by Anonymous · 0 0

get rid of grouping symbols: 3x + 5 + 2x - 9 - 4x - 3 combine like words: 3x + 2x - 4x + 5 - 9 - 3 = x - 7. observe: it extremely is an expression, no longer an equation; subsequently the linked fee of 'x' can't be desperate.

2016-11-12 06:28:14 · answer #7 · answered by ? 4 · 0 0

Ive always done bad in algebra.. Its a miracle that im gonna be on H geometry next year.. No more algebra for me!!! yayyy

2007-08-13 15:04:46 · answer #8 · answered by Anonymous · 0 0

24 ?

2007-08-13 15:07:33 · answer #9 · answered by ? 2 · 0 0

i think it's

9-2x+16 = 12x +3
25-2x = 12x+3
-2x -12x = -25 +3
-14x = -22
x = -22/-14
x = 1.5714

i think it's right....

2007-08-13 15:10:34 · answer #10 · answered by calisqo 2 · 0 0

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