4k-2(k-6)=5

Solution for 4k-2(k-6)=5 equation:

Simplifying
4k + -2(k + -6) = 5

Reorder the terms:
4k + -2(-6 + k) = 5
4k + (-6 * -2 + k * -2) = 5
4k + (12 + -2k) = 5

Reorder the terms:
12 + 4k + -2k = 5

Combine like terms: 4k + -2k = 2k
12 + 2k = 5

Solving
12 + 2k = 5

Solving for variable 'k'.

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

Add '-12' to each side of the equation.
12 + -12 + 2k = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 2k = 5 + -12
2k = 5 + -12

Combine like terms: 5 + -12 = -7
2k = -7

Divide each side by '2'.
k = -3.5

Simplifying
k = -3.5