2+5k=3(k-2)

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

Simplifying
2 + 5k = 3(k + -2)

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

Solving
2 + 5k = -6 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
2 + 5k + -3k = -6 + 3k + -3k

Combine like terms: 5k + -3k = 2k
2 + 2k = -6 + 3k + -3k

Combine like terms: 3k + -3k = 0
2 + 2k = -6 + 0
2 + 2k = -6

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

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

Combine like terms: -6 + -2 = -8
2k = -8

Divide each side by '2'.
k = -4

Simplifying
k = -4