5k+2=3k-6

Solution for 5k+2=3k-6 equation:

Simplifying
5k + 2 = 3k + -6

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

Reorder the terms:
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