3(2n-1)=(2n+6)+1

Solution for 3(2n-1)=(2n+6)+1 equation:

Simplifying
3(2n + -1) = (2n + 6) + 1

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

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

Remove parenthesis around (6 + 2n)
-3 + 6n = 6 + 2n + 1

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

Combine like terms: 6 + 1 = 7
-3 + 6n = 7 + 2n

Solving
-3 + 6n = 7 + 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.
-3 + 6n + -2n = 7 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-3 + 4n = 7 + 2n + -2n

Combine like terms: 2n + -2n = 0
-3 + 4n = 7 + 0
-3 + 4n = 7

Add '3' to each side of the equation.
-3 + 3 + 4n = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 4n = 7 + 3
4n = 7 + 3

Combine like terms: 7 + 3 = 10
4n = 10

Divide each side by '4'.
n = 2.5

Simplifying
n = 2.5