86=2(5k+3)

Solution for 86=2(5k+3) equation:

Simplifying
86 = 2(5k + 3)

Reorder the terms:
86 = 2(3 + 5k)
86 = (3 * 2 + 5k * 2)
86 = (6 + 10k)

Solving
86 = 6 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
86 + -10k = 6 + 10k + -10k

Combine like terms: 10k + -10k = 0
86 + -10k = 6 + 0
86 + -10k = 6

Add '-86' to each side of the equation.
86 + -86 + -10k = 6 + -86

Combine like terms: 86 + -86 = 0
0 + -10k = 6 + -86
-10k = 6 + -86

Combine like terms: 6 + -86 = -80
-10k = -80

Divide each side by '-10'.
k = 8

Simplifying
k = 8