5x+1/3 - 2x+1/4=7/12 solve for x?

x = 0

(5x + 1) / 3 - (2x + 1) / 4 = 7 / 12
4 (5x + 1) - 3 (2x + 1) = 7
14x + 1 = 7
14x = 6
x = 6 / 14
x = 3 / 7

Your second attempt at presenting the question is very good. It is very important that brackets are used to present questions properly.

5x + 1/3 - 2x + 1/4 = 7/12
3x + 4/12 + 3/12 = 7/12
3x + 7/12 = 7/12
3x = 0
x = 0

Answer: x = 0

Proof:
5(0) + 1/3 - 2(0) + 1/4 = 7/12
0 + 4/12 - 0 + 3/12 = 7/12
7/12 = 7/12

*2(2x-1)=3(x+2) >4x-2=3x+6 >4x-3x=6+2 >x=8 *2x+2(5x-7)=10 >2x+10x-14=10 >12x=10+14 >12x=24 >x=24/12 >x=2 *2x-(5-x)=x-9 >2x-5+x-x+9=0 >2x+4=0 >2x=-4 >x=-4/2 >x=-2

(5x + 1)/3 - (2x + 1)/4 = 7/12
(20x + 4)/12 - (6x + 3)/12 = 7/12
(20x + 4 - 6x - 3)/12 = 7/12
20x + 4 - 6x - 3 = 7
20x - 6x = 7 - 4 + 3
14x = 6
x = 6/14
x = 3/7

x is coming out to be 0

5x+1/3 - 2x+1/4=7/12
3x +1/3 + 1/4 = 7/12
3x +(4+3/12) = 7/12
3x +7/12 = 7/12
3x = 0
x = 0

5x+1/3 - 2x+1/4=7/12
12(5x+1/3+-2x+1/4)=12(7/12)
60x+4+-24x+3=7
36x+7=7
36x+7-7=7-7
36x=0
36x/36=0/36
x=0
answer is 0

5x+1/3 - 2x+1/4=7/12

First, I combined the x's together to get 3x
3x + 1/3 + 1/4 = 7/12

Next, I converted the fractions on the left side to 12th's
3x + 4/12 + 3/12 = 7/12

Next, I added the fractions together on the left side
3x + 7/12 = 7/12

Then, I subtracted 7/12 from both sides
3x = 0

Then I divided both sides by 3
x = 0

I try making solving equations like that as simple and easy as I can. Normally that can done by first simpliflying wherever you can simplify. That's why I worked with the x's first. Then another way I could simplify more was if I got all of the fractions with a common denominator. Then it just kind of falls into place after that.

5x - 1/3 - 2x + 1/4 = 7/12
3x - 1/3 + 1/4 = 7/12
3x - 4/12 + 3/12 = 7/12
3x - 1/12 = 7/12
3x = 8/12
(8/12) / 3 = x
2/9 = x

Howdy & I sure hope all is well. :) As for your question:

First of all, you should write the question as follows:

(5X + 1)/3 -- (2X + 1)/4 = 7/12

Otherwise, a person might think you actually meant:

5X + 1/3 -- 2X + 1/4 = 7/12,

which would yield a 0 value for X:

5X -- 2X = 3X & 1/3 + 1/4 = (3 + 4)/12 = 7/12

So we have 3X + 7/12 = 7/12 & the "7/12"s obviously cancel each other out leaving 3X = 0.

So, to solve, we mutiply both sides of the equation (both sides so as to preserve the equation's value.) by 12, so as to remove the fractions. We get:

12*(5X + 1)/3 -- 12*(2X + 1)/4 = 12*(7/12)

Simplifying yields:

4*(5X + 1) -- 3*(2X + 1) = 7

Simplifying further yields:

20X + 4 -- 6X -- 3 = 7

Simplifying further still yields:

14X + 1 = 7

Next, to solve for X, we need to isolate it on one side of the equation. So we subtract 1 from both sides of the equation. We get:

14X + 1 -- 1 = 7 -- 1

Simplifying yields:

14X = 6

Finally, to solve for X, we divide both sides of the equation by 14. We get:

14X/14 = 6/14

Simplifying yields:

X = 3/7

Therefore, X = 3/7.

I sure hope that was as clear & as helpful as you needed it to be. :) Good luck, take care & have a great day. :)

Cheers! :)