11+2(n-6)=3(n+4)

Solution for 11+2(n-6)=3(n+4) equation:

Simplifying
11 + 2(n + -6) = 3(n + 4)

Reorder the terms:
11 + 2(-6 + n) = 3(n + 4)
11 + (-6 * 2 + n * 2) = 3(n + 4)
11 + (-12 + 2n) = 3(n + 4)

Combine like terms: 11 + -12 = -1
-1 + 2n = 3(n + 4)

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

Solving
-1 + 2n = 12 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-1 + 2n + -3n = 12 + 3n + -3n

Combine like terms: 2n + -3n = -1n
-1 + -1n = 12 + 3n + -3n

Combine like terms: 3n + -3n = 0
-1 + -1n = 12 + 0
-1 + -1n = 12

Add '1' to each side of the equation.
-1 + 1 + -1n = 12 + 1

Combine like terms: -1 + 1 = 0
0 + -1n = 12 + 1
-1n = 12 + 1

Combine like terms: 12 + 1 = 13
-1n = 13

Divide each side by '-1'.
n = -13

Simplifying
n = -13