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

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

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

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

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

Solving
4 + 2n = -6 + 4n

Solving for variable 'n'.

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

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

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

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

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

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

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

Divide each side by '-2'.
n = 5

Simplifying
n = 5