what is the answer to this equation 4x/5 =1/6 - 2x+4/3 ????

4x/5=1/6-(2x+4)/3
(4x)6=5(1-2(2x+4))
24x=5-20x-40
x=-35/44

or
4x/5=1/6-2x+4/3
24x=5-30x+40
54x=35
x=35/54

4x/5 = 1/6 - 2x + 4/3
4x/5 = 1/6 - 2x + 8/6
4x/5 = 3/2 - 2x
4x = 5(3/2 - 2x)
4x = 15/2 - 10x
14x = 15/2
x = 15/2 * 1/14
x = 15/28

Answer x = 15/28

Proof (substitute the x's in your original equation):
(4[15/28])/5 = 1/6 - 2(15/28) + 4/3
(15/7)/5 = 1/6 - 15/14 + 4/3
15/7 * 1/5 = 7/42 - 45/42 + 56/42
3/7 = 18/42
3/7 = 3/7

4/5x=1/6-2x+4/3
4/5x+2x=1/6+4/3
{(4+10)/5}x =(1+8)/6
14/5x=9/6
x=15/28

4x / 5 = 1/6 - 2x + 4/3 (x5)
4x = 5/6 - 10x + 20/ 3 (bring the x's to one side).
4x + 10x = 5/6 + 20/ 3
14x = 5/6 + 20/ 3 (Get common base).
14x = 5/6 + 40/ 6
14x = 45/6 (÷ 14).
x = 45/6 / 14
x = 45/6 * 1/14
x = 45/ 84 (÷ cancel top and bottom by 3).
x = 15/ 28

u need to take common denominator for second half of eqn.

4x/5 = (1-12x + 8)/6

crossmultiplying

24x = 5(9-12x)

simplify with 3 on both sides

8x = 5(3-4x)

8x = 15 - 20x

28x = 15

x = 15/28

First of all you MUST make the question clear.
Is it :-
a) 4x / 5 = 1 / 6 - (2x + 4) / 3

OR

b) 4x / 5 = 1 / 6 - 2x + 4/3

Question a) :-
4x/5 = 1 / 6 - (2x + 4) / 3
24x = 5 - 20x - 40
44x = - 35
x = - 35/44

Question b)
4x/5 = 1/6 - 2x + 4/3
24x = 5 - 60x + 40
84x = 45
x = 45 / 84
x = 15 / 28

4x/5 = 1/6 - (2x + 4)/3
4x/5 = 1/6 - (4x + 8)/6
4x/5 = (1 - 4x - 8)/6
4x/5 = (-7 - 4x)/6
24x/5 = -7 - 4x
24x = -35 - 20x
24x + 20x = -35
44x = -35
x = -35/44

(4x/5)=(1/6-2x +4/3)
(4x/5)*6=(1/6-2x +4/3)*6
24x/5 = +1-12x+24/3
24x/5= +1-12x+8
24x/5= -12x +9
(24x/5)*5 = (-12x +9) *5
24x=-60x+45
(24x)-24x=(-60x+45)-24x
0=-84x+45
(0)-45=(-84x+45) -45
-45=-84x
-84x=-45
x=-45/-84=45/84=15/28
verification with calculator:
(4*0.5357) / 5= 0.4285
(1/6-2x+4/3)= 0.1666-2*0.5357+1.3333 =0.4285
WOW some answers are really short.

[4x/5 =1/6 - 2x+4/3]30

24x = 5 - 60x + 40

84x = -35

x=-35/84