2(k+5)+3k=k+6

Solution for 2(k+5)+3k=k+6 equation:

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

Reorder the terms:
2(5 + k) + 3k = k + 6
(5 * 2 + k * 2) + 3k = k + 6
(10 + 2k) + 3k = k + 6

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

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

Solving
10 + 5k = 6 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
10 + 5k + -1k = 6 + k + -1k

Combine like terms: 5k + -1k = 4k
10 + 4k = 6 + k + -1k

Combine like terms: k + -1k = 0
10 + 4k = 6 + 0
10 + 4k = 6

Add '-10' to each side of the equation.
10 + -10 + 4k = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 4k = 6 + -10
4k = 6 + -10

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

Divide each side by '4'.
k = -1

Simplifying
k = -1