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

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

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

Reorder the terms:
5 + -2(1 + 2k) = 5 + -1(k + -1)
5 + (1 * -2 + 2k * -2) = 5 + -1(k + -1)
5 + (-2 + -4k) = 5 + -1(k + -1)

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

Reorder the terms:
3 + -4k = 5 + -1(-1 + k)
3 + -4k = 5 + (-1 * -1 + k * -1)
3 + -4k = 5 + (1 + -1k)

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

Solving
3 + -4k = 6 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
3 + -4k + k = 6 + -1k + k

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

Combine like terms: -1k + k = 0
3 + -3k = 6 + 0
3 + -3k = 6

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

Combine like terms: 3 + -3 = 0
0 + -3k = 6 + -3
-3k = 6 + -3

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

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

Simplifying
k = -1