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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -2k = -8 + -6

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

Combine like terms: -8 + -6 = -14
-2k = -14

Divide each side by '-2'.
k = 7

Simplifying
k = 7