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

Solution for 3(k+2)-(1+4k)=-2k equation:

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

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

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

Combine like terms: 6 + -1 = 5
5 + 3k + -4k = -2k

Combine like terms: 3k + -4k = -1k
5 + -1k = -2k

Solving
5 + -1k = -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
5 + -1k + 2k = -2k + 2k

Combine like terms: -1k + 2k = 1k
5 + 1k = -2k + 2k

Combine like terms: -2k + 2k = 0
5 + 1k = 0

Add '-5' to each side of the equation.
5 + -5 + 1k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1k = 0 + -5
1k = 0 + -5

Combine like terms: 0 + -5 = -5
1k = -5

Divide each side by '1'.
k = -5

Simplifying
k = -5