2(k+3)-(3k+4)=k+6

Solution for 2(k+3)-(3k+4)=k+6 equation:

Simplifying
2(k + 3) + -1(3k + 4) = k + 6

Reorder the terms:
2(3 + k) + -1(3k + 4) = k + 6
(3 * 2 + k * 2) + -1(3k + 4) = k + 6
(6 + 2k) + -1(3k + 4) = k + 6

Reorder the terms:
6 + 2k + -1(4 + 3k) = k + 6
6 + 2k + (4 * -1 + 3k * -1) = k + 6
6 + 2k + (-4 + -3k) = k + 6

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

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

Combine like terms: 2k + -3k = -1k
2 + -1k = k + 6

Reorder the terms:
2 + -1k = 6 + k

Solving
2 + -1k = 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.
2 + -1k + -1k = 6 + k + -1k

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

Combine like terms: k + -1k = 0
2 + -2k = 6 + 0
2 + -2k = 6

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

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

Combine like terms: 6 + -2 = 4
-2k = 4

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

Simplifying
k = -2