3(n-2)=2n+1

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

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

Reorder the terms:
3(-2 + n) = 2n + 1
(-2 * 3 + n * 3) = 2n + 1
(-6 + 3n) = 2n + 1

Reorder the terms:
-6 + 3n = 1 + 2n

Solving
-6 + 3n = 1 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
-6 + 3n + -2n = 1 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-6 + 1n = 1 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 1n = 1 + 0
-6 + 1n = 1

Add '6' to each side of the equation.
-6 + 6 + 1n = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = 1 + 6
1n = 1 + 6

Combine like terms: 1 + 6 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7