please help me solve this equation 2/3x+1/2x=14?

2/3x+1/2x=14
4/6x+3/6x=14
(6/7)7/6x=14(6/7)
x=12

Solution:
First, get the LCD (Least Common Denominator) of the given fractions. The objective is to get rid of the denominators. Then, Multiply the LCD to all of the given numbers. .
6[2/3x + 1/2x = 14]
4x + 3 x = 84
7x/7= 84/7
x=12
CHECK:
2/3(12) + 1/2(12) = 14
8 + 6 = 14
14 = 14 Therefore, 12 is the correct answer

2/3x + 1/2x = 14
<=> 4/6x + 3/6x = 14
<=> 7/6x = 14
<=> 7x = 14 x 6
<=> 7x = 84
<=> x = 12

That's it. Step by step =D Hope helps.

12=x

1 1/6x= 14

divide by one and one sixth

x=12

SHOULD be written as :-
(2/3) x + (1/2) x = 14
4x + 3x = 84
7x = 84
x = 12

2/3(x) + 1/2(x) = 14
6(2x/3 + x/2) = 6(14)
4x + 3x = 84
7x = 84
x = 84/7
x = 12

Multiply both sides by 6x to get rid of the fractions. This gives:

4 + 3 = 84x

84x = 7

x = 7/84 = 1/12

Check:

2/(3*1/12) + 1/2*(1/12)

3/(1/4) + 1/ (1/6)

8 + 6 = 14 as required

does the "x"come next to the fraction or in the denominators place...the answer depends upon that

2/3x+1/2x=14
Multiply every term by 6x
2(2) + 1(3) = 14(6x)
4 + 3 = 84x
7 = 84x
x = 7/84
x = 1/12