3.6-1.2n=-2.8(n-5)

Solution for 3.6-1.2n=-2.8(n-5) equation:

Simplifying
3.6 + -1.2n = -2.8(n + -5)

Reorder the terms:
3.6 + -1.2n = -2.8(-5 + n)
3.6 + -1.2n = (-5 * -2.8 + n * -2.8)
3.6 + -1.2n = (14 + -2.8n)

Solving
3.6 + -1.2n = 14 + -2.8n

Solving for variable 'n'.

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

Add '2.8n' to each side of the equation.
3.6 + -1.2n + 2.8n = 14 + -2.8n + 2.8n

Combine like terms: -1.2n + 2.8n = 1.6n
3.6 + 1.6n = 14 + -2.8n + 2.8n

Combine like terms: -2.8n + 2.8n = 0.0
3.6 + 1.6n = 14 + 0.0
3.6 + 1.6n = 14

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 1.6n = 14 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 1.6n = 14 + -3.6
1.6n = 14 + -3.6

Combine like terms: 14 + -3.6 = 10.4
1.6n = 10.4

Divide each side by '1.6'.
n = 6.5

Simplifying
n = 6.5