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

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Solution for 2(k-1)=5(k-2) equation: 


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

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

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

Solving
-2 + 2k = -10 + 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.
-2 + 2k + -5k = -10 + 5k + -5k

Combine like terms: 2k + -5k = -3k
-2 + -3k = -10 + 5k + -5k

Combine like terms: 5k + -5k = 0
-2 + -3k = -10 + 0
-2 + -3k = -10

Add '2' to each side of the equation.
-2 + 2 + -3k = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -3k = -10 + 2
-3k = -10 + 2

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

Divide each side by '-3'.
k = 2.666666667

Simplifying
k = 2.666666667

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