.20(5-n)+1.00n=.50(5)

Solution for .20(5-n)+1.00n=.50(5) equation:

Simplifying
0.20(5 + -1n) + 1.00n = 0.50(5)
(5 * 0.20 + -1n * 0.20) + 1.00n = 0.50(5)
(1 + -0.2n) + 1.00n = 0.50(5)

Combine like terms: -0.2n + 1.00n = 0.8n
1 + 0.8n = 0.50(5)

Multiply 0.50 * 5
1 + 0.8n = 2.5

Solving
1 + 0.8n = 2.5

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.8n = 2.5 + -1

Combine like terms: 1 + -1 = 0
0 + 0.8n = 2.5 + -1
0.8n = 2.5 + -1

Combine like terms: 2.5 + -1 = 1.5
0.8n = 1.5

Divide each side by '0.8'.
n = 1.875

Simplifying
n = 1.875