help me!? plez!? Don't get math!?

Question

I need to know the solution to the following problems, 4/3x-5/2x=5+1/6x & 7/x-4x/2x-3=-2 this is the best I can get it. You have to help me please! Thanx '_'

Answer 1

For the first one:

4/3x - 5/2x = 5 + 1/6x
move all variables to the left and real numbers to the right:
4/3x - 5/2x - 1/6x = 5
No, find a common denominator:(the biggest is 6x)
8/6x - 15/6x - 1/6x = 5
(8 - 15 - 1)/6x = 5
-6*6x = 5
-36x = 5
x = -5/36

For the second one:

7/x - 4x/2x - 3 = -2
move all variables to the left and real numbers to the right:
7/x - 4x/2x = 3 - 2
7/x - 2 = 1
7/x = 2 + 1
7/x = 3
7 = 3x
x = 7/3

Good luck,

Answer 2

You should realize that 4/3x means 4x/3 and not 4/(3x). Similarly, 4x/2x -3 = 2-3=-1, but I am sure you meant
4x(2x-3). Always use parentheses to make clear what you mean. Otherwise, you are making us guess.

4x/3- 5x/2 = 5 + x/6
8x/6 -15x/6 = 30/6 +x/6
-7x/6 = (30+x)/6
-7x = 30+x
-8x = 30
x = -30/8 = - 3 3/4

7/x -4x/(2x-3) = -2
7(2x-3) -4x^2 = -2x(2x-3)
14x -21 -4x^2 = -4x^2 +6x
8x= 21
x = 2 5/8

Answer 3

4/3x - 5/2x = 5 + 1/6x
4/3x - 5/2x - 1/6x = 5
you must now find a common denominator to add like variables
8/6x - 15/6x - 1/6x=5
-8/6x=5
-4/3x=5
x=5/ (4/3)

Answer 4

4/3x-5/2x=5+1/6x
multiply both sides by 6
8x-15x=30+x
-7x=30+x
-8x=30
x=-30/8=-3.75
x=-3.75

7/x-4x/2x-3=-2
7/x-2-3=-2
7/x=3
multiply each side by x
7=3x
7/3=x