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

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


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

Reorder the terms:
3(-6 + k) + -1(2k + -8) = 2
(-6 * 3 + k * 3) + -1(2k + -8) = 2
(-18 + 3k) + -1(2k + -8) = 2

Reorder the terms:
-18 + 3k + -1(-8 + 2k) = 2
-18 + 3k + (-8 * -1 + 2k * -1) = 2
-18 + 3k + (8 + -2k) = 2

Reorder the terms:
-18 + 8 + 3k + -2k = 2

Combine like terms: -18 + 8 = -10
-10 + 3k + -2k = 2

Combine like terms: 3k + -2k = 1k
-10 + 1k = 2

Solving
-10 + 1k = 2

Solving for variable 'k'.

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

Add '10' to each side of the equation.
-10 + 10 + 1k = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 1k = 2 + 10
1k = 2 + 10

Combine like terms: 2 + 10 = 12
1k = 12

Divide each side by '1'.
k = 12

Simplifying
k = 12

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