5(2n+6)=4(5+2n)+3n

Solution for 5(2n+6)=4(5+2n)+3n equation:

5(2n+6)=4(5+2n)+3n

We move all terms to the left:

5(2n+6)-(4(5+2n)+3n)=0

We add all the numbers together, and all the variables

5(2n+6)-(4(2n+5)+3n)=0

We multiply parentheses

10n-(4(2n+5)+3n)+30=0


We calculate terms in parentheses: -(4(2n+5)+3n), so:

4(2n+5)+3n

We add all the numbers together, and all the variables

3n+4(2n+5)

We multiply parentheses

3n+8n+20

We add all the numbers together, and all the variables

11n+20

Back to the equation:

-(11n+20)


We get rid of parentheses

10n-11n-20+30=0

We add all the numbers together, and all the variables

-1n+10=0

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

-n=-10

n=-10/-1

n=+10