(k+3)-(5k-3)=(5k-3)-(3k-11)

Solution for (k+3)-(5k-3)=(5k-3)-(3k-11) equation:

Simplifying
(k + 3) + -1(5k + -3) = (5k + -3) + -1(3k + -11)

Reorder the terms:
(3 + k) + -1(5k + -3) = (5k + -3) + -1(3k + -11)

Remove parenthesis around (3 + k)
3 + k + -1(5k + -3) = (5k + -3) + -1(3k + -11)

Reorder the terms:
3 + k + -1(-3 + 5k) = (5k + -3) + -1(3k + -11)
3 + k + (-3 * -1 + 5k * -1) = (5k + -3) + -1(3k + -11)
3 + k + (3 + -5k) = (5k + -3) + -1(3k + -11)

Reorder the terms:
3 + 3 + k + -5k = (5k + -3) + -1(3k + -11)

Combine like terms: 3 + 3 = 6
6 + k + -5k = (5k + -3) + -1(3k + -11)

Combine like terms: k + -5k = -4k
6 + -4k = (5k + -3) + -1(3k + -11)

Reorder the terms:
6 + -4k = (-3 + 5k) + -1(3k + -11)

Remove parenthesis around (-3 + 5k)
6 + -4k = -3 + 5k + -1(3k + -11)

Reorder the terms:
6 + -4k = -3 + 5k + -1(-11 + 3k)
6 + -4k = -3 + 5k + (-11 * -1 + 3k * -1)
6 + -4k = -3 + 5k + (11 + -3k)

Reorder the terms:
6 + -4k = -3 + 11 + 5k + -3k

Combine like terms: -3 + 11 = 8
6 + -4k = 8 + 5k + -3k

Combine like terms: 5k + -3k = 2k
6 + -4k = 8 + 2k

Solving
6 + -4k = 8 + 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.
6 + -4k + -2k = 8 + 2k + -2k

Combine like terms: -4k + -2k = -6k
6 + -6k = 8 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + -6k = 8 + 0
6 + -6k = 8

Add '-6' to each side of the equation.
6 + -6 + -6k = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -6k = 8 + -6
-6k = 8 + -6

Combine like terms: 8 + -6 = 2
-6k = 2

Divide each side by '-6'.
k = -0.3333333333

Simplifying
k = -0.3333333333