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

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



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

We move all terms to the left:

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



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(-9x+6)/(6x-3)+(-8x+4)/(6x-3)=0

We multiply all the terms by the denominator


(-9x+6)+(-8x+4)=0

We get rid of parentheses

-9x-8x+6+4=0

We add all the numbers together, and all the variables

-17x+10=0

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

-17x=-10

x=-10/-17

x=10/17

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