5(2n+1.2)=4(n-1.5)

Solution for 5(2n+1.2)=4(n-1.5) equation:

Simplifying
5(2n + 1.2) = 4(n + -1.5)

Reorder the terms:
5(1.2 + 2n) = 4(n + -1.5)
(1.2 * 5 + 2n * 5) = 4(n + -1.5)
(6 + 10n) = 4(n + -1.5)

Reorder the terms:
6 + 10n = 4(-1.5 + n)
6 + 10n = (-1.5 * 4 + n * 4)
6 + 10n = (-6 + 4n)

Solving
6 + 10n = -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.
6 + 10n + -4n = -6 + 4n + -4n

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

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

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

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

Combine like terms: -6 + -6 = -12
6n = -12

Divide each side by '6'.
n = -2

Simplifying
n = -2