5(k+5)=10(k-4)

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Solution for 5(k+5)=10(k-4) equation: 


Simplifying
5(k + 5) = 10(k + -4)

Reorder the terms:
5(5 + k) = 10(k + -4)
(5 * 5 + k * 5) = 10(k + -4)
(25 + 5k) = 10(k + -4)

Reorder the terms:
25 + 5k = 10(-4 + k)
25 + 5k = (-4 * 10 + k * 10)
25 + 5k = (-40 + 10k)

Solving
25 + 5k = -40 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
25 + 5k + -10k = -40 + 10k + -10k

Combine like terms: 5k + -10k = -5k
25 + -5k = -40 + 10k + -10k

Combine like terms: 10k + -10k = 0
25 + -5k = -40 + 0
25 + -5k = -40

Add '-25' to each side of the equation.
25 + -25 + -5k = -40 + -25

Combine like terms: 25 + -25 = 0
0 + -5k = -40 + -25
-5k = -40 + -25

Combine like terms: -40 + -25 = -65
-5k = -65

Divide each side by '-5'.
k = 13

Simplifying
k = 13

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