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

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


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

Reorder the terms:
5(-2 + 3k) = 4(3 + -5k)
(-2 * 5 + 3k * 5) = 4(3 + -5k)
(-10 + 15k) = 4(3 + -5k)
-10 + 15k = (3 * 4 + -5k * 4)
-10 + 15k = (12 + -20k)

Solving
-10 + 15k = 12 + -20k

Solving for variable 'k'.

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

Add '20k' to each side of the equation.
-10 + 15k + 20k = 12 + -20k + 20k

Combine like terms: 15k + 20k = 35k
-10 + 35k = 12 + -20k + 20k

Combine like terms: -20k + 20k = 0
-10 + 35k = 12 + 0
-10 + 35k = 12

Add '10' to each side of the equation.
-10 + 10 + 35k = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 35k = 12 + 10
35k = 12 + 10

Combine like terms: 12 + 10 = 22
35k = 22

Divide each side by '35'.
k = 0.6285714286

Simplifying
k = 0.6285714286

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