12.5n-115.2=5.3(n+14.4)

Solution for 12.5n-115.2=5.3(n+14.4) equation:

Simplifying
12.5n + -115.2 = 5.3(n + 14.4)

Reorder the terms:
-115.2 + 12.5n = 5.3(n + 14.4)

Reorder the terms:
-115.2 + 12.5n = 5.3(14.4 + n)
-115.2 + 12.5n = (14.4 * 5.3 + n * 5.3)
-115.2 + 12.5n = (76.32 + 5.3n)

Solving
-115.2 + 12.5n = 76.32 + 5.3n

Solving for variable 'n'.

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

Add '-5.3n' to each side of the equation.
-115.2 + 12.5n + -5.3n = 76.32 + 5.3n + -5.3n

Combine like terms: 12.5n + -5.3n = 7.2n
-115.2 + 7.2n = 76.32 + 5.3n + -5.3n

Combine like terms: 5.3n + -5.3n = 0.0
-115.2 + 7.2n = 76.32 + 0.0
-115.2 + 7.2n = 76.32

Add '115.2' to each side of the equation.
-115.2 + 115.2 + 7.2n = 76.32 + 115.2

Combine like terms: -115.2 + 115.2 = 0.0
0.0 + 7.2n = 76.32 + 115.2
7.2n = 76.32 + 115.2

Combine like terms: 76.32 + 115.2 = 191.52
7.2n = 191.52

Divide each side by '7.2'.
n = 26.6

Simplifying
n = 26.6