2(n-1)=3(n+2)-9

Solution for 2(n-1)=3(n+2)-9 equation:

Simplifying
2(n + -1) = 3(n + 2) + -9

Reorder the terms:
2(-1 + n) = 3(n + 2) + -9
(-1 * 2 + n * 2) = 3(n + 2) + -9
(-2 + 2n) = 3(n + 2) + -9

Reorder the terms:
-2 + 2n = 3(2 + n) + -9
-2 + 2n = (2 * 3 + n * 3) + -9
-2 + 2n = (6 + 3n) + -9

Reorder the terms:
-2 + 2n = 6 + -9 + 3n

Combine like terms: 6 + -9 = -3
-2 + 2n = -3 + 3n

Solving
-2 + 2n = -3 + 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.
-2 + 2n + -3n = -3 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
-2 + -1n = -3 + 0
-2 + -1n = -3

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

Combine like terms: -2 + 2 = 0
0 + -1n = -3 + 2
-1n = -3 + 2

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

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

Simplifying
n = 1