.5(5-2n)=.5n

Solution for .5(5-2n)=.5n equation:

Simplifying
0.5(5 + -2n) = 0.5n
(5 * 0.5 + -2n * 0.5) = 0.5n
(2.5 + -1n) = 0.5n

Solving
2.5 + -1n = 0.5n

Solving for variable 'n'.

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

Add '-0.5n' to each side of the equation.
2.5 + -1n + -0.5n = 0.5n + -0.5n

Combine like terms: -1n + -0.5n = -1.5n
2.5 + -1.5n = 0.5n + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
2.5 + -1.5n = 0.0

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -1.5n = 0.0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.5n = 0.0 + -2.5
-1.5n = 0.0 + -2.5

Combine like terms: 0.0 + -2.5 = -2.5
-1.5n = -2.5

Divide each side by '-1.5'.
n = 1.666666667

Simplifying
n = 1.666666667