.50(k-5)=3

Solution for .50(k-5)=3 equation:

Simplifying
0.50(k + -5) = 3

Reorder the terms:
0.50(-5 + k) = 3
(-5 * 0.50 + k * 0.50) = 3
(-2.5 + 0.50k) = 3

Solving
-2.5 + 0.50k = 3

Solving for variable 'k'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 0.50k = 3 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.50k = 3 + 2.5
0.50k = 3 + 2.5

Combine like terms: 3 + 2.5 = 5.5
0.50k = 5.5

Divide each side by '0.50'.
k = 11

Simplifying
k = 11