3(2n+1)=7(2+n)

Solution for 3(2n+1)=7(2+n) equation:

Simplifying
3(2n + 1) = 7(2 + n)

Reorder the terms:
3(1 + 2n) = 7(2 + n)
(1 * 3 + 2n * 3) = 7(2 + n)
(3 + 6n) = 7(2 + n)
3 + 6n = (2 * 7 + n * 7)
3 + 6n = (14 + 7n)

Solving
3 + 6n = 14 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
3 + 6n + -7n = 14 + 7n + -7n

Combine like terms: 6n + -7n = -1n
3 + -1n = 14 + 7n + -7n

Combine like terms: 7n + -7n = 0
3 + -1n = 14 + 0
3 + -1n = 14

Add '-3' to each side of the equation.
3 + -3 + -1n = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = 14 + -3
-1n = 14 + -3

Combine like terms: 14 + -3 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11