Solve for x: 2- 2/3x = 4/5x......?

2 - (2/3) x = (4/5) x

2 = (2/3) x + (4/5) x

30/15 = (10/15) x + (12/15) x

(1/15) [ 30 ] = (1/15) [ 10x + 12x ]

30 = 10x + 12x

30 = 22x

x = 30/22

x = 15/11

=>

answer c)

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2 - 2/3x = 4/5x
4/5x + 2/3x = 2
12/15x + 10/15x = 2
22/15x = 2
x = 2(15/22)
x = 15/11

Answer: C.) 15/11

Guessing that you mean :-

2 - (2/3) x = (4/5) x
30 - 10 x = 12 x
22 x = 30
x = 30 / 22
x = 15 / 11

OPTION C)

2 - 2/3(x) = 4/5(x)
2 - 2x/3 = 4x/5
15(2 - 2x/3) = 15(4x/5)
30 - 10x = 12x
-12x - 10x = -30
-22x = -30
x = -30/(-22)
x = 15/11
(answer C)

the important thing to remember about an equation (something with an equal sign) is that what you do to one side, you must do to the other.
so what we want to do is isolate the variable 'x' by getting it all by itself on one side.
we do this by adding (2/3)x to (4/5) x which gives us (10/15)x+ (12/15)x, which is equal to = (22/15)x
we then have an equation that looks like this
2= (22/15)x
to get rid of the fraction coefficient (number that precedes the variable) we can either divide 2 by (22/15) or multiple by 15 (the denominator) and then divide by 22. both will get you:
1.3636 or 15/11
so the answer is C. 15/11

2- 2/3x =4/5x

2 = 4/5x + 2/3x

30/15 = 12/15x + 10/15x

30/15 = 22/15x

450/330 = x

15/11 =x

Multiply through by 15x to clear fractions:

15x (2- 2/3x) = (15x) 4/5x

30x – 10 = 12

30x = 22

x = 22/30 = 11/15

Are you sure you copied the choices correctly? OR did you write the problem incorrectly. Did you really mean:

2- (2/3)x = (4/5)x ??? If so, then multiply through by 15 only:

30 – 10x = 12x
30 = 22x
x = 30/22 = 15/11

mmk, so I think this is the smartest thing to do when people are not math oriented....EXCEPT when its test time...

30-10x=12
-10x=-18
x=9/5,
so the answer must be "none of the above"

the answer is 1/3