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

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


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

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

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

Combine like terms: 4 + 2 = 6
-2 + 4k = 6 + -1k

Solving
-2 + 4k = 6 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-2 + 4k + k = 6 + -1k + k

Combine like terms: 4k + k = 5k
-2 + 5k = 6 + -1k + k

Combine like terms: -1k + k = 0
-2 + 5k = 6 + 0
-2 + 5k = 6

Add '2' to each side of the equation.
-2 + 2 + 5k = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 5k = 6 + 2
5k = 6 + 2

Combine like terms: 6 + 2 = 8
5k = 8

Divide each side by '5'.
k = 1.6

Simplifying
k = 1.6

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