3k+6=5(k+1)

Solution for 3k+6=5(k+1) equation:

Simplifying
3k + 6 = 5(k + 1)

Reorder the terms:
6 + 3k = 5(k + 1)

Reorder the terms:
6 + 3k = 5(1 + k)
6 + 3k = (1 * 5 + k * 5)
6 + 3k = (5 + 5k)

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

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

Combine like terms: 5k + -5k = 0
6 + -2k = 5 + 0
6 + -2k = 5

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

Combine like terms: 6 + -6 = 0
0 + -2k = 5 + -6
-2k = 5 + -6

Combine like terms: 5 + -6 = -1
-2k = -1

Divide each side by '-2'.
k = 0.5

Simplifying
k = 0.5