-10k+6=5k-39

Solution for -10k+6=5k-39 equation:

Simplifying
-10k + 6 = 5k + -39

Reorder the terms:
6 + -10k = 5k + -39

Reorder the terms:
6 + -10k = -39 + 5k

Solving
6 + -10k = -39 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
6 + -10k + -5k = -39 + 5k + -5k

Combine like terms: -10k + -5k = -15k
6 + -15k = -39 + 5k + -5k

Combine like terms: 5k + -5k = 0
6 + -15k = -39 + 0
6 + -15k = -39

Add '-6' to each side of the equation.
6 + -6 + -15k = -39 + -6

Combine like terms: 6 + -6 = 0
0 + -15k = -39 + -6
-15k = -39 + -6

Combine like terms: -39 + -6 = -45
-15k = -45

Divide each side by '-15'.
k = 3

Simplifying
k = 3