6k+3(k+2)=5k+12k

Solution for 6k+3(k+2)=5k+12k equation:

Simplifying
6k + 3(k + 2) = 5k + 12k

Reorder the terms:
6k + 3(2 + k) = 5k + 12k
6k + (2 * 3 + k * 3) = 5k + 12k
6k + (6 + 3k) = 5k + 12k

Reorder the terms:
6 + 6k + 3k = 5k + 12k

Combine like terms: 6k + 3k = 9k
6 + 9k = 5k + 12k

Combine like terms: 5k + 12k = 17k
6 + 9k = 17k

Solving
6 + 9k = 17k

Solving for variable 'k'.

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

Add '-17k' to each side of the equation.
6 + 9k + -17k = 17k + -17k

Combine like terms: 9k + -17k = -8k
6 + -8k = 17k + -17k

Combine like terms: 17k + -17k = 0
6 + -8k = 0

Add '-6' to each side of the equation.
6 + -6 + -8k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -8k = 0 + -6
-8k = 0 + -6

Combine like terms: 0 + -6 = -6
-8k = -6

Divide each side by '-8'.
k = 0.75

Simplifying
k = 0.75