10/5=4/(x-5)

Solution for 10/5=4/(x-5) equation:

10/5=4/(x-5)

We move all terms to the left:

10/5-(4/(x-5))=0


Domain of the equation: (x-5))!=0

x∈R


We add all the numbers together, and all the variables

-(4/(x-5))+2=0

We multiply all the terms by the denominator


-(4+2*(x-5))=0


We calculate terms in parentheses: -(4+2*(x-5)), so:

4+2*(x-5)

determiningTheFunctionDomain
2*(x-5)+4

We multiply parentheses

2x-10+4

We add all the numbers together, and all the variables

2x-6

Back to the equation:

-(2x-6)


We get rid of parentheses

-2x+6=0

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

-2x=-6

x=-6/-2

x=+3