10(n-1)+1=3(n+1)+2

Solution for 10(n-1)+1=3(n+1)+2 equation:

10(n-1)+1=3(n+1)+2

We move all terms to the left:

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

We multiply parentheses

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


We calculate terms in parentheses: -(3(n+1)+2), so:

3(n+1)+2

We multiply parentheses

3n+3+2

We add all the numbers together, and all the variables

3n+5

Back to the equation:

-(3n+5)


We add all the numbers together, and all the variables

10n-(3n+5)-9=0

We get rid of parentheses

10n-3n-5-9=0

We add all the numbers together, and all the variables

7n-14=0

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

7n=14

n=14/7

n=2