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

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

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

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

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

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

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

Combine like terms: 3 + 2 = 5
-2 + 6n = 5 + 2n

Solving
-2 + 6n = 5 + 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.
-2 + 6n + -2n = 5 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-2 + 4n = 5 + 2n + -2n

Combine like terms: 2n + -2n = 0
-2 + 4n = 5 + 0
-2 + 4n = 5

Add '2' to each side of the equation.
-2 + 2 + 4n = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 4n = 5 + 2
4n = 5 + 2

Combine like terms: 5 + 2 = 7
4n = 7

Divide each side by '4'.
n = 1.75

Simplifying
n = 1.75