[(5K-3)+1]+[(K+2)+2]+[(3K-11)+3]=15

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Solution for [(5K-3)+1]+[(K+2)+2]+[(3K-11)+3]=15 equation: 


Simplifying
[(5K + -3) + 1] + [(K + 2) + 2] + [(3K + -11) + 3] = 15

Reorder the terms:
[(-3 + 5K) + 1] + [(K + 2) + 2] + [(3K + -11) + 3] = 15

Remove parenthesis around (-3 + 5K)
[-3 + 5K + 1] + [(K + 2) + 2] + [(3K + -11) + 3] = 15

Reorder the terms:
[-3 + 1 + 5K] + [(K + 2) + 2] + [(3K + -11) + 3] = 15

Combine like terms: -3 + 1 = -2
[-2 + 5K] + [(K + 2) + 2] + [(3K + -11) + 3] = 15

Remove brackets around [-2 + 5K]
-2 + 5K + [(K + 2) + 2] + [(3K + -11) + 3] = 15

Reorder the terms:
-2 + 5K + [(2 + K) + 2] + [(3K + -11) + 3] = 15

Remove parenthesis around (2 + K)
-2 + 5K + [2 + K + 2] + [(3K + -11) + 3] = 15

Reorder the terms:
-2 + 5K + [2 + 2 + K] + [(3K + -11) + 3] = 15

Combine like terms: 2 + 2 = 4
-2 + 5K + [4 + K] + [(3K + -11) + 3] = 15

Remove brackets around [4 + K]
-2 + 5K + 4 + K + [(3K + -11) + 3] = 15

Reorder the terms:
-2 + 5K + 4 + K + [(-11 + 3K) + 3] = 15

Remove parenthesis around (-11 + 3K)
-2 + 5K + 4 + K + [-11 + 3K + 3] = 15

Reorder the terms:
-2 + 5K + 4 + K + [-11 + 3 + 3K] = 15

Combine like terms: -11 + 3 = -8
-2 + 5K + 4 + K + [-8 + 3K] = 15

Remove brackets around [-8 + 3K]
-2 + 5K + 4 + K + -8 + 3K = 15

Reorder the terms:
-2 + 4 + -8 + 5K + K + 3K = 15

Combine like terms: -2 + 4 = 2
2 + -8 + 5K + K + 3K = 15

Combine like terms: 2 + -8 = -6
-6 + 5K + K + 3K = 15

Combine like terms: 5K + K = 6K
-6 + 6K + 3K = 15

Combine like terms: 6K + 3K = 9K
-6 + 9K = 15

Solving
-6 + 9K = 15

Solving for variable 'K'.

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

Add '6' to each side of the equation.
-6 + 6 + 9K = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 9K = 15 + 6
9K = 15 + 6

Combine like terms: 15 + 6 = 21
9K = 21

Divide each side by '9'.
K = 2.333333333

Simplifying
K = 2.333333333

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