k+2(k-3)=2(4k+3)+k

Solution for k+2(k-3)=2(4k+3)+k equation:

Simplifying
k + 2(k + -3) = 2(4k + 3) + k

Reorder the terms:
k + 2(-3 + k) = 2(4k + 3) + k
k + (-3 * 2 + k * 2) = 2(4k + 3) + k
k + (-6 + 2k) = 2(4k + 3) + k

Reorder the terms:
-6 + k + 2k = 2(4k + 3) + k

Combine like terms: k + 2k = 3k
-6 + 3k = 2(4k + 3) + k

Reorder the terms:
-6 + 3k = 2(3 + 4k) + k
-6 + 3k = (3 * 2 + 4k * 2) + k
-6 + 3k = (6 + 8k) + k

Combine like terms: 8k + k = 9k
-6 + 3k = 6 + 9k

Solving
-6 + 3k = 6 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
-6 + 3k + -9k = 6 + 9k + -9k

Combine like terms: 3k + -9k = -6k
-6 + -6k = 6 + 9k + -9k

Combine like terms: 9k + -9k = 0
-6 + -6k = 6 + 0
-6 + -6k = 6

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

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

Combine like terms: 6 + 6 = 12
-6k = 12

Divide each side by '-6'.
k = -2

Simplifying
k = -2