3+4(n+2)=2n+3(n+4)

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

Simplifying
3 + 4(n + 2) = 2n + 3(n + 4)

Reorder the terms:
3 + 4(2 + n) = 2n + 3(n + 4)
3 + (2 * 4 + n * 4) = 2n + 3(n + 4)
3 + (8 + 4n) = 2n + 3(n + 4)

Combine like terms: 3 + 8 = 11
11 + 4n = 2n + 3(n + 4)

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

Reorder the terms:
11 + 4n = 12 + 2n + 3n

Combine like terms: 2n + 3n = 5n
11 + 4n = 12 + 5n

Solving
11 + 4n = 12 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
11 + 4n + -5n = 12 + 5n + -5n

Combine like terms: 4n + -5n = -1n
11 + -1n = 12 + 5n + -5n

Combine like terms: 5n + -5n = 0
11 + -1n = 12 + 0
11 + -1n = 12

Add '-11' to each side of the equation.
11 + -11 + -1n = 12 + -11

Combine like terms: 11 + -11 = 0
0 + -1n = 12 + -11
-1n = 12 + -11

Combine like terms: 12 + -11 = 1
-1n = 1

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

Simplifying
n = -1