How can i solve (4x + 3)/9 - (2x + 1)/2 = 1/6?

(4x + 3)/9 - (2x + 1)/2 = 1/6
18[(4x + 3)/9 - (2x + 1)/2] = 18(1/6)
2(4x + 3) - 9(2x + 1) = 3
2*4x + 2*3 - 9*2x - 9*1 = 3
8x + 6 - 18x - 9 = 3
8x - 18x = 3 - 6 + 9
-10x = 6
x = 6/-10
x = -3/5 (-0.6)

First multiply by the common multiple of the denominators (in this case 18):
2*(4x + 3) - 9*(2x+1) = 3

Then simplify:
8x + 6 - 18x - 9 = 3
-10x - 3 = 3
-10x = 6
x = -6/10
x = -3/5

Answer:
x = -3/5

find lowest common denominator.
2(4x+3)/18 - 9(2x+1)/18 = 1/6
8x + 6 - 18x - 9 = 1/6*(18)
-10x - 3 = 3
x = -6/10

Hmm. Start by... Multiplying 4x+3 and 1/6 by 9, then multiply 2x+1 and whatever 1/6 x 9 comes out to be by 2. Combine like terms, then solve for x as normal?

I think the answer would be... x=2?

multiply the 1st equ'n by using -2 and upload it to the 2d equation to get -4x+-2y=-2 + 4x+3y =9 y=7 so the 4x term cancels out and you get, y=7 then placed y back into the two between the staggering 2 equ'ns 4x+3(7) =9 4x = 9-21 x= -12/4 = -3 your anwser is (-3,7)

8x + 6 - 18x - 9 = 3
- 6 = 10 x
x = - 3 / 5

Get the common denominator by multiplying by 18
2(4x+3) - 9(2x+1) = 3
8x+6 - 18x-9=3
6-10x-9=3
6-10x=12
6=12x+10x
x = - 0.6

x = -6/10

(4x+3)/9 - (2x+1)/2 = 1/6

Multiply both side by 18

2(4x+3) - 9(2x+1) = 3

(8x + 6) - (18x + 9) = 3

-10x -3 = 3

-10x = 6

x - -6/10 = -3/5