k-1=3k-5+2k-12

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Solution for k-1=3k-5+2k-12 equation: 


Simplifying
k + -1 = 3k + -5 + 2k + -12

Reorder the terms:
-1 + k = 3k + -5 + 2k + -12

Reorder the terms:
-1 + k = -5 + -12 + 3k + 2k

Combine like terms: -5 + -12 = -17
-1 + k = -17 + 3k + 2k

Combine like terms: 3k + 2k = 5k
-1 + k = -17 + 5k

Solving
-1 + k = -17 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-1 + k + -5k = -17 + 5k + -5k

Combine like terms: k + -5k = -4k
-1 + -4k = -17 + 5k + -5k

Combine like terms: 5k + -5k = 0
-1 + -4k = -17 + 0
-1 + -4k = -17

Add '1' to each side of the equation.
-1 + 1 + -4k = -17 + 1

Combine like terms: -1 + 1 = 0
0 + -4k = -17 + 1
-4k = -17 + 1

Combine like terms: -17 + 1 = -16
-4k = -16

Divide each side by '-4'.
k = 4

Simplifying
k = 4

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