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⤋