3x(2k-1)=5x(k-4)

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Solution for 3x(2k-1)=5x(k-4) equation:


Simplifying
3x(2k + -1) = 5x(k + -4)

Reorder the terms:
3x(-1 + 2k) = 5x(k + -4)
(-1 * 3x + 2k * 3x) = 5x(k + -4)

Reorder the terms:
(6kx + -3x) = 5x(k + -4)
(6kx + -3x) = 5x(k + -4)

Reorder the terms:
6kx + -3x = 5x(-4 + k)
6kx + -3x = (-4 * 5x + k * 5x)

Reorder the terms:
6kx + -3x = (5kx + -20x)
6kx + -3x = (5kx + -20x)

Solving
6kx + -3x = 5kx + -20x

Solving for variable 'k'.

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

Add '-5kx' to each side of the equation.
6kx + -5kx + -3x = 5kx + -5kx + -20x

Combine like terms: 6kx + -5kx = 1kx
1kx + -3x = 5kx + -5kx + -20x

Combine like terms: 5kx + -5kx = 0
1kx + -3x = 0 + -20x
1kx + -3x = -20x

Add '3x' to each side of the equation.
1kx + -3x + 3x = -20x + 3x

Combine like terms: -3x + 3x = 0
1kx + 0 = -20x + 3x
1kx = -20x + 3x

Combine like terms: -20x + 3x = -17x
1kx = -17x

Divide each side by '1x'.
k = -17

Simplifying
k = -17

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