2(n-3)=n+1

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

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

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

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

Solving
-6 + 2n = 1 + n

Solving for variable 'n'.

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

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

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

Combine like terms: n + -1n = 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