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

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


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

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

Reorder the terms:
-3 + 6k = 4(-2 + k)
-3 + 6k = (-2 * 4 + k * 4)
-3 + 6k = (-8 + 4k)

Solving
-3 + 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.
-3 + 6k + -4k = -8 + 4k + -4k

Combine like terms: 6k + -4k = 2k
-3 + 2k = -8 + 4k + -4k

Combine like terms: 4k + -4k = 0
-3 + 2k = -8 + 0
-3 + 2k = -8

Add '3' to each side of the equation.
-3 + 3 + 2k = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 2k = -8 + 3
2k = -8 + 3

Combine like terms: -8 + 3 = -5
2k = -5

Divide each side by '2'.
k = -2.5

Simplifying
k = -2.5

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