(6+3x)/(8-x)=7

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Solution for (6+3x)/(8-x)=7 equation:



(6+3x)/(8-x)=7
We move all terms to the left:
(6+3x)/(8-x)-(7)=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
(3x+6)/(-1x+8)-7=0
We multiply all the terms by the denominator
(3x+6)-7*(-1x+8)=0
We multiply parentheses
(3x+6)+7x-56=0
We get rid of parentheses
3x+7x+6-56=0
We add all the numbers together, and all the variables
10x-50=0
We move all terms containing x to the left, all other terms to the right
10x=50
x=50/10
x=5

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