3(n-2)=11-(7-n)

Solution for 3(n-2)=11-(7-n) equation:

Simplifying
3(n + -2) = 11 + -1(7 + -1n)

Reorder the terms:
3(-2 + n) = 11 + -1(7 + -1n)
(-2 * 3 + n * 3) = 11 + -1(7 + -1n)
(-6 + 3n) = 11 + -1(7 + -1n)
-6 + 3n = 11 + (7 * -1 + -1n * -1)
-6 + 3n = 11 + (-7 + 1n)

Combine like terms: 11 + -7 = 4
-6 + 3n = 4 + 1n

Solving
-6 + 3n = 4 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-6 + 3n + -1n = 4 + 1n + -1n

Combine like terms: 3n + -1n = 2n
-6 + 2n = 4 + 1n + -1n

Combine like terms: 1n + -1n = 0
-6 + 2n = 4 + 0
-6 + 2n = 4

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

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

Combine like terms: 4 + 6 = 10
2n = 10

Divide each side by '2'.
n = 5

Simplifying
n = 5