2(5+m)=3(10-m)

Solution for 2(5+m)=3(10-m) equation:

2(5+m)=3(10-m)

We move all terms to the left:

2(5+m)-(3(10-m))=0

We add all the numbers together, and all the variables

2(m+5)-(3(-1m+10))=0

We multiply parentheses

2m-(3(-1m+10))+10=0


We calculate terms in parentheses: -(3(-1m+10)), so:

3(-1m+10)

We multiply parentheses

-3m+30

Back to the equation:

-(-3m+30)


We get rid of parentheses

2m+3m-30+10=0

We add all the numbers together, and all the variables

5m-20=0

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

5m=20

m=20/5

m=4