(7+x)/(8-x)=-2/3

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Solution for (7+x)/(8-x)=-2/3 equation:



(7+x)/(8-x)=-2/3
We move all terms to the left:
(7+x)/(8-x)-(-2/3)=0
Domain of the equation: (8-x)!=0
We move all terms containing x to the left, all other terms to the right
-x!=-8
x!=-8/-1
x!=+8
x∈R
We add all the numbers together, and all the variables
(x+7)/(-1x+8)-(-2/3)=0
We get rid of parentheses
(x+7)/(-1x+8)+2/3=0
We calculate fractions
(3x+21)/(-3x+24)+(-2x+16)/(-3x+24)=0
We multiply all the terms by the denominator
(3x+21)+(-2x+16)=0
We get rid of parentheses
3x-2x+21+16=0
We add all the numbers together, and all the variables
x+37=0
We move all terms containing x to the left, all other terms to the right
x=-37

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