10-a/a=3a/20-3a

Solution for 10-a/a=3a/20-3a equation:

10-a/a=3a/20-3a

We move all terms to the left:

10-a/a-(3a/20-3a)=0


Domain of the equation: a!=0

a∈R



Domain of the equation: 20-3a)!=0

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

-3a)!=-20

a!=-20/1

a!=-20

a∈R


We add all the numbers together, and all the variables

-a/a-(-3a+3a/20)+10=0

We get rid of parentheses

-a/a+3a-3a/20+10=0

Fractions to decimals

-3a/20+3a+10+1=0

We multiply all the terms by the denominator


-3a+3a*20+10*20+1*20=0

We add all the numbers together, and all the variables

-3a+3a*20+220=0

Wy multiply elements

-3a+60a+220=0

We add all the numbers together, and all the variables

57a+220=0

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

57a=-220

a=-220/57

a=-3+49/57