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

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

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

Reorder the terms:
2(3 + 2n) = 6(6n + 3) + 2
(3 * 2 + 2n * 2) = 6(6n + 3) + 2
(6 + 4n) = 6(6n + 3) + 2

Reorder the terms:
6 + 4n = 6(3 + 6n) + 2
6 + 4n = (3 * 6 + 6n * 6) + 2
6 + 4n = (18 + 36n) + 2

Reorder the terms:
6 + 4n = 18 + 2 + 36n

Combine like terms: 18 + 2 = 20
6 + 4n = 20 + 36n

Solving
6 + 4n = 20 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
6 + 4n + -36n = 20 + 36n + -36n

Combine like terms: 4n + -36n = -32n
6 + -32n = 20 + 36n + -36n

Combine like terms: 36n + -36n = 0
6 + -32n = 20 + 0
6 + -32n = 20

Add '-6' to each side of the equation.
6 + -6 + -32n = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -32n = 20 + -6
-32n = 20 + -6

Combine like terms: 20 + -6 = 14
-32n = 14

Divide each side by '-32'.
n = -0.4375

Simplifying
n = -0.4375