-3(n-2)=3n-2(5+2n)

Solution for -3(n-2)=3n-2(5+2n) equation:

Simplifying
-3(n + -2) = 3n + -2(5 + 2n)

Reorder the terms:
-3(-2 + n) = 3n + -2(5 + 2n)
(-2 * -3 + n * -3) = 3n + -2(5 + 2n)
(6 + -3n) = 3n + -2(5 + 2n)
6 + -3n = 3n + (5 * -2 + 2n * -2)
6 + -3n = 3n + (-10 + -4n)

Reorder the terms:
6 + -3n = -10 + 3n + -4n

Combine like terms: 3n + -4n = -1n
6 + -3n = -10 + -1n

Solving
6 + -3n = -10 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6 + -3n + n = -10 + -1n + n

Combine like terms: -3n + n = -2n
6 + -2n = -10 + -1n + n

Combine like terms: -1n + n = 0
6 + -2n = -10 + 0
6 + -2n = -10

Add '-6' to each side of the equation.
6 + -6 + -2n = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -10 + -6
-2n = -10 + -6

Combine like terms: -10 + -6 = -16
-2n = -16

Divide each side by '-2'.
n = 8

Simplifying
n = 8