4/(2x-3)=2/(3x+5)

Simple and best practice solution for 4/(2x-3)=2/(3x+5) 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-3)=2/(3x+5) equation: 



4/(2x-3)=2/(3x+5)

We move all terms to the left:

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



Domain of the equation: (2x-3)!=0

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

2x!=3

x!=3/2

x!=1+1/2

x∈R





Domain of the equation: (3x+5))!=0

x∈R



We calculate fractions


12x/((2x-3)*(3x+5)))+(-(2*(2x-3))/((2x-3)*(3x+5)))=0



We calculate terms in parentheses: -(2*(2x-3))/((2x-3)*(3x+5))), so:

2*(2x-3))/((2x-3)*(3x+5))

We multiply all the terms by the denominator


2*(2x-3))

We multiply parentheses

4x+

We add all the numbers together, and all the variables

4x

Back to the equation:

-(4x)



We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


-4x*((2x-3)*(3x+5)))+(+12x=0

We add all the numbers together, and all the variables

12x-4x*((2x-3)*(3x+5)))+(=0

See similar equations:

| 8u-37=3u+48 | | x=21=4x061 | | 3(3x+4)=13x+9-4x+3 | | 12x²+60x+72=0 | | -47+x=-10 | | -3v-46=2(v-3) | | 2(5x-8)=3(x-4) | | x/10=11.2/16 | | x2+14x-120=0 | | 5x4-3x=10 | | 82+(6x+20)=180 | | 2=3d−4 | | -9=-3(n+10) | | -2w=-14 | | -13x-11=-50 | | 8x-16+2x+9=3x+8 | | 6/2+-5x/2=x | | 3(w-5)=-3w-9 | | 2x+3x+4x+3=30 | | 8x-16+2x9=3x+8 | | 14+8j+15=11+2j | | x=0.34*50 | | 3x^2-5x=290 | | -15x-11=-56 | | 4.8y-7.6=-14 | | 3-4c=-3c-c | | Y=500+35x | | x^2+3x+20=14 | | -4(2y-1)+3(y+4)=7y+13 | | v^2=8 | | 10m-2m=4 | | 4+6x-4=6 |

Equations solver categories