3(2k-s)-k=4-(3k+7)

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Solution for 3(2k-s)-k=4-(3k+7) equation:


Simplifying
3(2k + -1s) + -1k = 4 + -1(3k + 7)
(2k * 3 + -1s * 3) + -1k = 4 + -1(3k + 7)
(6k + -3s) + -1k = 4 + -1(3k + 7)

Reorder the terms:
6k + -1k + -3s = 4 + -1(3k + 7)

Combine like terms: 6k + -1k = 5k
5k + -3s = 4 + -1(3k + 7)

Reorder the terms:
5k + -3s = 4 + -1(7 + 3k)
5k + -3s = 4 + (7 * -1 + 3k * -1)
5k + -3s = 4 + (-7 + -3k)

Combine like terms: 4 + -7 = -3
5k + -3s = -3 + -3k

Solving
5k + -3s = -3 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
5k + 3k + -3s = -3 + -3k + 3k

Combine like terms: 5k + 3k = 8k
8k + -3s = -3 + -3k + 3k

Combine like terms: -3k + 3k = 0
8k + -3s = -3 + 0
8k + -3s = -3

Add '3s' to each side of the equation.
8k + -3s + 3s = -3 + 3s

Combine like terms: -3s + 3s = 0
8k + 0 = -3 + 3s
8k = -3 + 3s

Divide each side by '8'.
k = -0.375 + 0.375s

Simplifying
k = -0.375 + 0.375s

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