0.4=(-42+x)/x

Solution for 0.4=(-42+x)/x equation:

0.4=(-42+x)/x

We move all terms to the left:

0.4-((-42+x)/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-((x-42)/x)+0.4=0

We multiply all the terms by the denominator


-((x-42)+(0.4)*x)=0


We calculate terms in parentheses: -((x-42)+(0.4)*x), so:

(x-42)+(0.4)*x

We multiply parentheses

(x-42)+0.4x

We get rid of parentheses

x+0.4x-42

We add all the numbers together, and all the variables

1.4x-42

Back to the equation:

-(1.4x-42)


We get rid of parentheses

-1.4x+42=0

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

-1.4x=-42

x=-42/-1.4

x=+30