2(k+12)-(7k+8)=52

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Solution for 2(k+12)-(7k+8)=52 equation: 


Simplifying
2(k + 12) + -1(7k + 8) = 52

Reorder the terms:
2(12 + k) + -1(7k + 8) = 52
(12 * 2 + k * 2) + -1(7k + 8) = 52
(24 + 2k) + -1(7k + 8) = 52

Reorder the terms:
24 + 2k + -1(8 + 7k) = 52
24 + 2k + (8 * -1 + 7k * -1) = 52
24 + 2k + (-8 + -7k) = 52

Reorder the terms:
24 + -8 + 2k + -7k = 52

Combine like terms: 24 + -8 = 16
16 + 2k + -7k = 52

Combine like terms: 2k + -7k = -5k
16 + -5k = 52

Solving
16 + -5k = 52

Solving for variable 'k'.

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

Add '-16' to each side of the equation.
16 + -16 + -5k = 52 + -16

Combine like terms: 16 + -16 = 0
0 + -5k = 52 + -16
-5k = 52 + -16

Combine like terms: 52 + -16 = 36
-5k = 36

Divide each side by '-5'.
k = -7.2

Simplifying
k = -7.2

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