6=2(k-5)

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

Simplifying
6 = 2(k + -5)

Reorder the terms:
6 = 2(-5 + k)
6 = (-5 * 2 + k * 2)
6 = (-10 + 2k)

Solving
6 = -10 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
6 + -2k = -10 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + -2k = -10 + 0
6 + -2k = -10

Add '-6' to each side of the equation.
6 + -6 + -2k = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2k = -10 + -6
-2k = -10 + -6

Combine like terms: -10 + -6 = -16
-2k = -16

Divide each side by '-2'.
k = 8

Simplifying
k = 8