5k+1*6=3k-2*3

Solution for 5k+1*6=3k-2*3 equation:

Simplifying
5k + 1 * 6 = 3k + -2 * 3

Multiply 1 * 6
5k + 6 = 3k + -2 * 3

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

Multiply -2 * 3
6 + 5k = 3k + -6

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

Solving
6 + 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.
6 + 5k + -3k = -6 + 3k + -3k

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

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

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

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

Combine like terms: -6 + -6 = -12
2k = -12

Divide each side by '2'.
k = -6

Simplifying
k = -6