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

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


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

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

Combine like terms: 5k + -2k = 3k
2 + 3k = 2(2k + -1)

Reorder the terms:
2 + 3k = 2(-1 + 2k)
2 + 3k = (-1 * 2 + 2k * 2)
2 + 3k = (-2 + 4k)

Solving
2 + 3k = -2 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
2 + 3k + -4k = -2 + 4k + -4k

Combine like terms: 3k + -4k = -1k
2 + -1k = -2 + 4k + -4k

Combine like terms: 4k + -4k = 0
2 + -1k = -2 + 0
2 + -1k = -2

Add '-2' to each side of the equation.
2 + -2 + -1k = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = -2 + -2
-1k = -2 + -2

Combine like terms: -2 + -2 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4

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