8=(6-9x)/(3-x)

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Solution for 8=(6-9x)/(3-x) equation:



8=(6-9x)/(3-x)
We move all terms to the left:
8-((6-9x)/(3-x))=0
Domain of the equation: (3-x))!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-3
x!=-3/1
x!=-3
x∈R
We add all the numbers together, and all the variables
-((-9x+6)/(-1x+3))+8=0
We multiply all the terms by the denominator
-((-9x+6)+8*(-1x+3))=0
We calculate terms in parentheses: -((-9x+6)+8*(-1x+3)), so:
(-9x+6)+8*(-1x+3)
We multiply parentheses
(-9x+6)-8x+24
We get rid of parentheses
-9x-8x+6+24
We add all the numbers together, and all the variables
-17x+30
Back to the equation:
-(-17x+30)
We get rid of parentheses
17x-30=0
We move all terms containing x to the left, all other terms to the right
17x=30
x=30/17
x=1+13/17

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