(4x-5)/(2-x)=-9/2

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Solution for (4x-5)/(2-x)=-9/2 equation: 



(4x-5)/(2-x)=-9/2

We move all terms to the left:

(4x-5)/(2-x)-(-9/2)=0



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

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

-x!=-2

x!=-2/-1

x!=+2

x∈R



We add all the numbers together, and all the variables

(4x-5)/(-1x+2)-(-9/2)=0

We get rid of parentheses

(4x-5)/(-1x+2)+9/2=0

We calculate fractions


(8x-10)/(-2x+4)+(-9x+18)/(-2x+4)=0

We multiply all the terms by the denominator


(8x-10)+(-9x+18)=0

We get rid of parentheses

8x-9x-10+18=0

We add all the numbers together, and all the variables

-1x+8=0

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

-x=-8

x=-8/-1

x=+8

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