x^2-10x+2k=8x-k

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Solution for x^2-10x+2k=8x-k equation: 


Simplifying
x2 + -10x + 2k = 8x + -1k

Reorder the terms:
2k + -10x + x2 = 8x + -1k

Reorder the terms:
2k + -10x + x2 = -1k + 8x

Solving
2k + -10x + x2 = -1k + 8x

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
2k + -10x + k + x2 = -1k + k + 8x

Reorder the terms:
2k + k + -10x + x2 = -1k + k + 8x

Combine like terms: 2k + k = 3k
3k + -10x + x2 = -1k + k + 8x

Combine like terms: -1k + k = 0
3k + -10x + x2 = 0 + 8x
3k + -10x + x2 = 8x

Add '10x' to each side of the equation.
3k + -10x + 10x + x2 = 8x + 10x

Combine like terms: -10x + 10x = 0
3k + 0 + x2 = 8x + 10x
3k + x2 = 8x + 10x

Combine like terms: 8x + 10x = 18x
3k + x2 = 18x

Add '-1x2' to each side of the equation.
3k + x2 + -1x2 = 18x + -1x2

Combine like terms: x2 + -1x2 = 0
3k + 0 = 18x + -1x2
3k = 18x + -1x2

Divide each side by '3'.
k = 6x + -0.3333333333x2

Simplifying
k = 6x + -0.3333333333x2

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