(5(x-3)/6-x)=1-x/9

Solution for (5(x-3)/6-x)=1-x/9 equation:

(5(x-3)/6-x)=1-x/9

We move all terms to the left:

(5(x-3)/6-x)-(1-x/9)=0


Domain of the equation: 6-x)!=0

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

-x)!=-6

x!=-6/1

x!=-6

x∈R


We add all the numbers together, and all the variables

(5(x-3)/6-x)-(-x/9+1)=0

We get rid of parentheses

(5(x-3)/6-x)+x/9-1=0

We calculate fractions


((5(x-3)*9)/(-x)*9+6)+(6x-x))/(-x)*9+6)-1=0


We calculate terms in parentheses: +((5(x-3)*9)/(-x)*9+6), so:

(5(x-3)*9)/(-x)*9+6

We add all the numbers together, and all the variables

(5(x-3)*9)/(-1x)*9+6

We multiply all the terms by the denominator


(5(x-3)*9)+6*(-1x)*9


We calculate terms in parentheses: +(5(x-3)*9), so:

5(x-3)*9

We multiply parentheses

45x-135

Back to the equation:

+(45x-135)


We multiply parentheses

(45x-135)-54x

We get rid of parentheses

45x-54x-135

We add all the numbers together, and all the variables

-9x-135

Back to the equation:

+(-9x-135)


We add all the numbers together, and all the variables

(-9x-135)+(+5x))/(-1x)*9+6)-1=0

We get rid of parentheses

-9x+(+5x))/(-1x)*9+6)-1-135=0

We multiply all the terms by the denominator


-9x*(+(+5x))-1x*9+6)-1-135)*(=0

We add all the numbers together, and all the variables

-9x*(+(+5x))-1x*9=0

Wy multiply elements

-9x*(+(+5x))-9x=0

We add all the numbers together, and all the variables

-9x-9x*(+(+5x))=0