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

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


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

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

Remove parenthesis around (-1 + 2k)
-1 + 2k = 4(k + -2)

Reorder the terms:
-1 + 2k = 4(-2 + k)
-1 + 2k = (-2 * 4 + k * 4)
-1 + 2k = (-8 + 4k)

Solving
-1 + 2k = -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.
-1 + 2k + -4k = -8 + 4k + -4k

Combine like terms: 2k + -4k = -2k
-1 + -2k = -8 + 4k + -4k

Combine like terms: 4k + -4k = 0
-1 + -2k = -8 + 0
-1 + -2k = -8

Add '1' to each side of the equation.
-1 + 1 + -2k = -8 + 1

Combine like terms: -1 + 1 = 0
0 + -2k = -8 + 1
-2k = -8 + 1

Combine like terms: -8 + 1 = -7
-2k = -7

Divide each side by '-2'.
k = 3.5

Simplifying
k = 3.5

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