2(3k-1)=4(k-2)

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Solution for 2(3k-1)=4(k-2) equation:


Simplifying
2(3k + -1) = 4(k + -2)

Reorder the terms:
2(-1 + 3k) = 4(k + -2)
(-1 * 2 + 3k * 2) = 4(k + -2)
(-2 + 6k) = 4(k + -2)

Reorder the terms:
-2 + 6k = 4(-2 + k)
-2 + 6k = (-2 * 4 + k * 4)
-2 + 6k = (-8 + 4k)

Solving
-2 + 6k = -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.
-2 + 6k + -4k = -8 + 4k + -4k

Combine like terms: 6k + -4k = 2k
-2 + 2k = -8 + 4k + -4k

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

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

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

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

Divide each side by '2'.
k = -3

Simplifying
k = -3

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