5k+2-k=2(k-5)

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


Simplifying
5k + 2 + -1k = 2(k + -5)

Reorder the terms:
2 + 5k + -1k = 2(k + -5)

Combine like terms: 5k + -1k = 4k
2 + 4k = 2(k + -5)

Reorder the terms:
2 + 4k = 2(-5 + k)
2 + 4k = (-5 * 2 + k * 2)
2 + 4k = (-10 + 2k)

Solving
2 + 4k = -10 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
2 + 4k + -2k = -10 + 2k + -2k

Combine like terms: 4k + -2k = 2k
2 + 2k = -10 + 2k + -2k

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

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

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

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

Divide each side by '2'.
k = -6

Simplifying
k = -6

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