2(n-2)=3(n-2)

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

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

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

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

Solving
-4 + 2n = -6 + 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.
-4 + 2n + -3n = -6 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
-4 + -1n = -6 + 0
-4 + -1n = -6

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

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

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

Divide each side by '-1'.
n = 2

Simplifying
n = 2