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 = 16
4k = 16

Divide each side by '4'.
k = 4

Simplifying
k = 4