n(1.25)-1.5(n-5)=n(0.25)

Solution for n(1.25)-1.5(n-5)=n(0.25) equation:

Simplifying
n(1.25) + -1.5(n + -5) = n(0.25)

Reorder the terms for easier multiplication:
1.25n + -1.5(n + -5) = n(0.25)

Reorder the terms:
1.25n + -1.5(-5 + n) = n(0.25)
1.25n + (-5 * -1.5 + n * -1.5) = n(0.25)
1.25n + (7.5 + -1.5n) = n(0.25)

Reorder the terms:
7.5 + 1.25n + -1.5n = n(0.25)

Combine like terms: 1.25n + -1.5n = -0.25n
7.5 + -0.25n = n(0.25)

Reorder the terms for easier multiplication:
7.5 + -0.25n = 0.25n

Solving
7.5 + -0.25n = 0.25n

Solving for variable 'n'.

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

Add '-0.25n' to each side of the equation.
7.5 + -0.25n + -0.25n = 0.25n + -0.25n

Combine like terms: -0.25n + -0.25n = -0.5n
7.5 + -0.5n = 0.25n + -0.25n

Combine like terms: 0.25n + -0.25n = 0.00
7.5 + -0.5n = 0.00

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -0.5n = 0.00 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -0.5n = 0.00 + -7.5
-0.5n = 0.00 + -7.5

Combine like terms: 0.00 + -7.5 = -7.5
-0.5n = -7.5

Divide each side by '-0.5'.
n = 15

Simplifying
n = 15