4/(x-4)=-10/(x+3)

Solution for 4/(x-4)=-10/(x+3) equation:

4/(x-4)=-10/(x+3)

We move all terms to the left:

4/(x-4)-(-10/(x+3))=0


Domain of the equation: (x-4)!=0

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

x!=4

x∈R



Domain of the equation: (x+3))!=0

x∈R


We calculate fractions


4x/((x-4)*(x+3)))+(-(-10*(x-4))/((x-4)*(x+3)))=0


We calculate terms in parentheses: -(-10*(x-4))/((x-4)*(x+3))), so:

-10*(x-4))/((x-4)*(x+3))

We multiply all the terms by the denominator


-10*(x-4))

We multiply parentheses

-10x-

We add all the numbers together, and all the variables

-10x

Back to the equation:

-(-10x)


We get rid of parentheses

4x/((x-4)*(x+3)))+(+10x=0

We multiply all the terms by the denominator


4x+10x*((x-4)*(x+3)))+(=0