X/(110-3x)=1/2

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Solution for X/(110-3x)=1/2 equation: 



X/(110-3X)=1/2

We move all terms to the left:

X/(110-3X)-(1/2)=0



Domain of the equation: (110-3X)!=0

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

-3X!=-110

X!=-110/-3

X!=36+2/3

X∈R



We add all the numbers together, and all the variables

X/(-3X+110)-(+1/2)=0

We get rid of parentheses

X/(-3X+110)-1/2=0

We calculate fractions


2X/(-6X+220)+(-1*(-3X+110))/(-6X+220)=0



We calculate terms in parentheses: +(-1*(-3X+110))/(-6X+220), so:

-1*(-3X+110))/(-6X+220

We add all the numbers together, and all the variables

-6X-1*(-3X+110))/(+220

We multiply all the terms by the denominator


-6X*(-1*(-3X+110))+220*(

We add all the numbers together, and all the variables

-6X*(-1*(-3X+110))

Back to the equation:

+(-6X*(-1*(-3X+110)))



We multiply all the terms by the denominator


2X+((-6X*(-1*(-3X+110))))*(-6X+220)=0



We calculate terms in parentheses: +((-6X*(-1*(-3X+110))))*(-6X+220), so:

(-6X*(-1*(-3X+110))))*(-6X+220

We add all the numbers together, and all the variables

-6X+(-6X*(-1*(-3X+110))))*(+220

Back to the equation:

+(-6X+(-6X*(-1*(-3X+110))))*(+220)



We add all the numbers together, and all the variables

2X+(-6X+(-6X*(-1*(-3X+110))))*220=0

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