10+5k=3k+6

Solution for 10+5k=3k+6 equation:

Simplifying
10 + 5k = 3k + 6

Reorder the terms:
10 + 5k = 6 + 3k

Solving
10 + 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.
10 + 5k + -3k = 6 + 3k + -3k

Combine like terms: 5k + -3k = 2k
10 + 2k = 6 + 3k + -3k

Combine like terms: 3k + -3k = 0
10 + 2k = 6 + 0
10 + 2k = 6

Add '-10' to each side of the equation.
10 + -10 + 2k = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 2k = 6 + -10
2k = 6 + -10

Combine like terms: 6 + -10 = -4
2k = -4

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

Simplifying
k = -2