.50(10k+8)-(k+3)=

Solution for .50(10k+8)-(k+3)= equation:

Simplifying
0.50(10k + 8) + -1(k + 3) = 0

Reorder the terms:
0.50(8 + 10k) + -1(k + 3) = 0
(8 * 0.50 + 10k * 0.50) + -1(k + 3) = 0
(4 + 5k) + -1(k + 3) = 0

Reorder the terms:
4 + 5k + -1(3 + k) = 0
4 + 5k + (3 * -1 + k * -1) = 0
4 + 5k + (-3 + -1k) = 0

Reorder the terms:
4 + -3 + 5k + -1k = 0

Combine like terms: 4 + -3 = 1
1 + 5k + -1k = 0

Combine like terms: 5k + -1k = 4k
1 + 4k = 0

Solving
1 + 4k = 0

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + 4k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4k = 0 + -1
4k = 0 + -1

Combine like terms: 0 + -1 = -1
4k = -1

Divide each side by '4'.
k = -0.25

Simplifying
k = -0.25