3(k-3)-(2k+6)=8

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Solution for 3(k-3)-(2k+6)=8 equation: 


Simplifying
3(k + -3) + -1(2k + 6) = 8

Reorder the terms:
3(-3 + k) + -1(2k + 6) = 8
(-3 * 3 + k * 3) + -1(2k + 6) = 8
(-9 + 3k) + -1(2k + 6) = 8

Reorder the terms:
-9 + 3k + -1(6 + 2k) = 8
-9 + 3k + (6 * -1 + 2k * -1) = 8
-9 + 3k + (-6 + -2k) = 8

Reorder the terms:
-9 + -6 + 3k + -2k = 8

Combine like terms: -9 + -6 = -15
-15 + 3k + -2k = 8

Combine like terms: 3k + -2k = 1k
-15 + 1k = 8

Solving
-15 + 1k = 8

Solving for variable 'k'.

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

Add '15' to each side of the equation.
-15 + 15 + 1k = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 1k = 8 + 15
1k = 8 + 15

Combine like terms: 8 + 15 = 23
1k = 23

Divide each side by '1'.
k = 23

Simplifying
k = 23

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