3(2k-5)-k=4+(3k+7)

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Solution for 3(2k-5)-k=4+(3k+7) equation: 


Simplifying
3(2k + -5) + -1k = 4 + (3k + 7)

Reorder the terms:
3(-5 + 2k) + -1k = 4 + (3k + 7)
(-5 * 3 + 2k * 3) + -1k = 4 + (3k + 7)
(-15 + 6k) + -1k = 4 + (3k + 7)

Combine like terms: 6k + -1k = 5k
-15 + 5k = 4 + (3k + 7)

Reorder the terms:
-15 + 5k = 4 + (7 + 3k)

Remove parenthesis around (7 + 3k)
-15 + 5k = 4 + 7 + 3k

Combine like terms: 4 + 7 = 11
-15 + 5k = 11 + 3k

Solving
-15 + 5k = 11 + 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.
-15 + 5k + -3k = 11 + 3k + -3k

Combine like terms: 5k + -3k = 2k
-15 + 2k = 11 + 3k + -3k

Combine like terms: 3k + -3k = 0
-15 + 2k = 11 + 0
-15 + 2k = 11

Add '15' to each side of the equation.
-15 + 15 + 2k = 11 + 15

Combine like terms: -15 + 15 = 0
0 + 2k = 11 + 15
2k = 11 + 15

Combine like terms: 11 + 15 = 26
2k = 26

Divide each side by '2'.
k = 13

Simplifying
k = 13

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