4.2(2k-1)=4(k-2)

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Solution for 4.2(2k-1)=4(k-2) equation: 


Simplifying
4.2(2k + -1) = 4(k + -2)

Reorder the terms:
4.2(-1 + 2k) = 4(k + -2)
(-1 * 4.2 + 2k * 4.2) = 4(k + -2)
(-4.2 + 8.4k) = 4(k + -2)

Reorder the terms:
-4.2 + 8.4k = 4(-2 + k)
-4.2 + 8.4k = (-2 * 4 + k * 4)
-4.2 + 8.4k = (-8 + 4k)

Solving
-4.2 + 8.4k = -8 + 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.
-4.2 + 8.4k + -4k = -8 + 4k + -4k

Combine like terms: 8.4k + -4k = 4.4k
-4.2 + 4.4k = -8 + 4k + -4k

Combine like terms: 4k + -4k = 0
-4.2 + 4.4k = -8 + 0
-4.2 + 4.4k = -8

Add '4.2' to each side of the equation.
-4.2 + 4.2 + 4.4k = -8 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 4.4k = -8 + 4.2
4.4k = -8 + 4.2

Combine like terms: -8 + 4.2 = -3.8
4.4k = -3.8

Divide each side by '4.4'.
k = -0.8636363636

Simplifying
k = -0.8636363636

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