(4)/(2x-1)=(3)/(3-x)

Simple and best practice solution for (4)/(2x-1)=(3)/(3-x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (4)/(2x-1)=(3)/(3-x) equation: 



(4)/(2x-1)=(3)/(3-x)

We move all terms to the left:

(4)/(2x-1)-((3)/(3-x))=0



Domain of the equation: (2x-1)!=0

We move all terms containing x to the left, all other terms to the right

2x!=1

x!=1/2

x!=1/2

x∈R





Domain of the equation: (3-x))!=0

We move all terms containing x to the left, all other terms to the right

-x)!=-3

x!=-3/1

x!=-3

x∈R



We add all the numbers together, and all the variables

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

We calculate fractions


(-4x)/((2x-1)*(-1x+3)))+(-(3*(2x-1))/((2x-1)*(-1x+3)))=0



We calculate terms in parentheses: -(3*(2x-1))/((2x-1)*(-1x+3))), so:

3*(2x-1))/((2x-1)*(-1x+3))

We multiply all the terms by the denominator


3*(2x-1))

We multiply parentheses

6x+

We add all the numbers together, and all the variables

6x

Back to the equation:

-(6x)



We add all the numbers together, and all the variables

-6x+(-4x)/((2x-1)*(-1x+3)))+(=0

We multiply all the terms by the denominator


-6x*((2x-1)*(-1x+3)))+(+(-4x)=0

We get rid of parentheses

-6x*((2x-1)*(-1x+3)))+(-4x=0

We add all the numbers together, and all the variables

-4x-6x*((2x-1)*(-1x+3)))+(=0

See similar equations:

| 10+8m=6m−10 | | 2c=2+3c | | -3g+6=-4g+9 | | 5y+8=-9y-6 | | 6r-9=5r | | 7+4a=6a-3 | | -5+j=2j | | -6n+7=-7n | | 4b+4b-5=27 | | 9x-5x=21 | | X-0.25x=36 | | 1/3x+8+3/4x-18+1/2x=180 | | -3÷y+6(4)=6 | | 2k-8=4k+1 | | 9x+21x=66 | | 104=16+8d/11 | | 5x/12−9=11 | | 15+2(13+y)-10=29 | | 1/2x+1/3=-2 | | 142=6x | | 248=10x | | 133=5x | | 8000=32000/x | | 8+5c=-12 | | 61+6x=11x-6 | | -4(-6x+2)-9x=5(x-3)-9 | | -7x+8=-x-7 | | 6x(-4)=24 | | x^2-4^1-5=0 | | 5/8x+7/24=13/24 | | 8000-k=5349 | | F(x)=9x8 |

Equations solver categories