2(3n-2)=-6(-1-2n)-5n

Solution for 2(3n-2)=-6(-1-2n)-5n equation:

Simplifying
2(3n + -2) = -6(-1 + -2n) + -5n

Reorder the terms:
2(-2 + 3n) = -6(-1 + -2n) + -5n
(-2 * 2 + 3n * 2) = -6(-1 + -2n) + -5n
(-4 + 6n) = -6(-1 + -2n) + -5n
-4 + 6n = (-1 * -6 + -2n * -6) + -5n
-4 + 6n = (6 + 12n) + -5n

Combine like terms: 12n + -5n = 7n
-4 + 6n = 6 + 7n

Solving
-4 + 6n = 6 + 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.
-4 + 6n + -7n = 6 + 7n + -7n

Combine like terms: 6n + -7n = -1n
-4 + -1n = 6 + 7n + -7n

Combine like terms: 7n + -7n = 0
-4 + -1n = 6 + 0
-4 + -1n = 6

Add '4' to each side of the equation.
-4 + 4 + -1n = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -1n = 6 + 4
-1n = 6 + 4

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

Divide each side by '-1'.
n = -10

Simplifying
n = -10