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

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


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

Reorder the terms:
5(-3 + 2k) = 3(4k + -5)
(-3 * 5 + 2k * 5) = 3(4k + -5)
(-15 + 10k) = 3(4k + -5)

Reorder the terms:
-15 + 10k = 3(-5 + 4k)
-15 + 10k = (-5 * 3 + 4k * 3)
-15 + 10k = (-15 + 12k)

Add '15' to each side of the equation.
-15 + 15 + 10k = -15 + 15 + 12k

Combine like terms: -15 + 15 = 0
0 + 10k = -15 + 15 + 12k
10k = -15 + 15 + 12k

Combine like terms: -15 + 15 = 0
10k = 0 + 12k
10k = 12k

Solving
10k = 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
10k + -12k = 12k + -12k

Combine like terms: 10k + -12k = -2k
-2k = 12k + -12k

Combine like terms: 12k + -12k = 0
-2k = 0

Divide each side by '-2'.
k = 0

Simplifying
k = 0

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