5k+3(1+-2(k+1))=2k

Solution for 5k+3(1+-2(k+1))=2k equation:

Simplifying
5k + 3(1 + -2(k + 1)) = 2k

Reorder the terms:
5k + 3(1 + -2(1 + k)) = 2k
5k + 3(1 + (1 * -2 + k * -2)) = 2k
5k + 3(1 + (-2 + -2k)) = 2k

Combine like terms: 1 + -2 = -1
5k + 3(-1 + -2k) = 2k
5k + (-1 * 3 + -2k * 3) = 2k
5k + (-3 + -6k) = 2k

Reorder the terms:
-3 + 5k + -6k = 2k

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

Solving
-3 + -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.
-3 + -1k + -2k = 2k + -2k

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

Combine like terms: 2k + -2k = 0
-3 + -3k = 0

Add '3' to each side of the equation.
-3 + 3 + -3k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -3k = 0 + 3
-3k = 0 + 3

Combine like terms: 0 + 3 = 3
-3k = 3

Divide each side by '-3'.
k = -1

Simplifying
k = -1