10(5-k)=5(k-5)

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Solution for 10(5-k)=5(k-5) equation:


Simplifying
10(5 + -1k) = 5(k + -5)
(5 * 10 + -1k * 10) = 5(k + -5)
(50 + -10k) = 5(k + -5)

Reorder the terms:
50 + -10k = 5(-5 + k)
50 + -10k = (-5 * 5 + k * 5)
50 + -10k = (-25 + 5k)

Solving
50 + -10k = -25 + 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.
50 + -10k + -5k = -25 + 5k + -5k

Combine like terms: -10k + -5k = -15k
50 + -15k = -25 + 5k + -5k

Combine like terms: 5k + -5k = 0
50 + -15k = -25 + 0
50 + -15k = -25

Add '-50' to each side of the equation.
50 + -50 + -15k = -25 + -50

Combine like terms: 50 + -50 = 0
0 + -15k = -25 + -50
-15k = -25 + -50

Combine like terms: -25 + -50 = -75
-15k = -75

Divide each side by '-15'.
k = 5

Simplifying
k = 5

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