2/3x+1/6x=2?

I explain to you detailed this exercise:

To realize this operation, we must extract the "Common Multiple Minimum" to the numbers 3 and 6 respectively of the following way:

3.6!3
1.2!2
1.1

Now we multiply the results:

2 x 3 = 6

The C.M.M is 6.

Now the result of the C.C.M divides for every fraction in the denominator and then it multiplies for the numerator of the same fraction, this way:

With the fraction 2x/3:

6 ÷ 3 = 2 x 2x =4x

With the fraction 1x/6:

6 ÷ 6 = 1 x 1x = 1x

Now we return to the exercise, but with the new numerator that 6:

4x + 1x / 6 = 2

We add the numerators:

5x/6 = 2

Now 6 that it is dividing it happens to it multiplies with 2 and clearing 5 dividing to another side of the equation, this way:

x=2 x 6/5

We solve the exercise:

X=12/5

The result is a 12/5, twelve fifth ones!

CHECKING:

2/3 (12/5) + 1/6 (12/5) = 2
24/15 + 12/30 = 2
48+12/30 = 2
60/30 = 2
2 = 2

Already we verify that this it is the result, I hope that they serve you. Happy night and good-bye

(2/3)x+(1/6)x=2
multiply each term by 6
4x+x=12
5x=12
x=12/5

First multiply both sides of the equation by x to get the x-terms out of the denominator:

2/3 + 1/6 = 2x

The least common denominator of 3 and 6 is 6 so 2/3 = 4/6

4/6 + 1/6 = 2x
5/6 = 2x
Divide both sides of the equation by 2 to isolate the x
(5/6)/2 = x
5/12 = x

x = 5/12 <<<<<

lim ?[(12x³-5x+a million)/(3x³+6x²+a million)] x->? lim ?[x³(12 -5/x² +a million/x³)/x³(3 +6/x +a million/x³)] x->? lim ?[(12 -5/x² +a million/x³)/(3 +6/x +a million/x³)] x->? as lim x->? then ?[(12 -5/?² +a million/?³)/(3 +6/? +a million/?³)] = ?(12/3) = ?4 = 2 the shrink is two.

SHOULD be shown as :-
(2/3) x + (1/6) x = 2
4x + x = 12
5x = 12
x = 12 / 5

(2/3)x + (1/6)x = 2
2x/3 + x/6 = 2
6(2x/3 + x/6) = 6(2)
4x + x = 12
5x = 12
x = 12/5 (2.4)

2 / 3x + 1 / 6x = 2 Or 4/6x + 1/6x = 2 Or 5/6x = 2 Or 12x = 5 Or x = 5/12

2/3X+1/6X=2

multiply everything by 6:
4X+X=12

X(4+1)=12
X(5)=12

divide both sides by 5:
X=12/5

4/6x+1/6x=2
5/6x=2
x=2*6/5
x=12/5

2/3x+1/6x=2
4/6x + 1/6x = 2
5/6x =2
x = 2(6/5) = 12/5 = 2 2/5