7n-2(3-4n)=12n-(n+2)

Solution for 7n-2(3-4n)=12n-(n+2) equation:

Simplifying
7n + -2(3 + -4n) = 12n + -1(n + 2)
7n + (3 * -2 + -4n * -2) = 12n + -1(n + 2)
7n + (-6 + 8n) = 12n + -1(n + 2)

Reorder the terms:
-6 + 7n + 8n = 12n + -1(n + 2)

Combine like terms: 7n + 8n = 15n
-6 + 15n = 12n + -1(n + 2)

Reorder the terms:
-6 + 15n = 12n + -1(2 + n)
-6 + 15n = 12n + (2 * -1 + n * -1)
-6 + 15n = 12n + (-2 + -1n)

Reorder the terms:
-6 + 15n = -2 + 12n + -1n

Combine like terms: 12n + -1n = 11n
-6 + 15n = -2 + 11n

Solving
-6 + 15n = -2 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-6 + 15n + -11n = -2 + 11n + -11n

Combine like terms: 15n + -11n = 4n
-6 + 4n = -2 + 11n + -11n

Combine like terms: 11n + -11n = 0
-6 + 4n = -2 + 0
-6 + 4n = -2

Add '6' to each side of the equation.
-6 + 6 + 4n = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = -2 + 6
4n = -2 + 6

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

Divide each side by '4'.
n = 1

Simplifying
n = 1