2/(5-x)+4=-6

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Solution for 2/(5-x)+4=-6 equation: 



2/(5-x)+4=-6

We move all terms to the left:

2/(5-x)+4-(-6)=0



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

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

-x!=-5

x!=-5/-1

x!=+5

x∈R



We add all the numbers together, and all the variables

2/(-1x+5)+4-(-6)=0

We add all the numbers together, and all the variables

2/(-1x+5)+10=0

We multiply all the terms by the denominator


10*(-1x+5)+2=0

We multiply parentheses

-10x+50+2=0

We add all the numbers together, and all the variables

-10x+52=0

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

-10x=-52

x=-52/-10

x=5+1/5

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