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

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


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

Reorder the terms:
5(4 + k) = 10(k + -5)
(4 * 5 + k * 5) = 10(k + -5)
(20 + 5k) = 10(k + -5)

Reorder the terms:
20 + 5k = 10(-5 + k)
20 + 5k = (-5 * 10 + k * 10)
20 + 5k = (-50 + 10k)

Solving
20 + 5k = -50 + 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.
20 + 5k + -10k = -50 + 10k + -10k

Combine like terms: 5k + -10k = -5k
20 + -5k = -50 + 10k + -10k

Combine like terms: 10k + -10k = 0
20 + -5k = -50 + 0
20 + -5k = -50

Add '-20' to each side of the equation.
20 + -20 + -5k = -50 + -20

Combine like terms: 20 + -20 = 0
0 + -5k = -50 + -20
-5k = -50 + -20

Combine like terms: -50 + -20 = -70
-5k = -70

Divide each side by '-5'.
k = 14

Simplifying
k = 14

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