5(3k-6)=6(2k-3)

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Solution for 5(3k-6)=6(2k-3) equation:


Simplifying
5(3k + -6) = 6(2k + -3)

Reorder the terms:
5(-6 + 3k) = 6(2k + -3)
(-6 * 5 + 3k * 5) = 6(2k + -3)
(-30 + 15k) = 6(2k + -3)

Reorder the terms:
-30 + 15k = 6(-3 + 2k)
-30 + 15k = (-3 * 6 + 2k * 6)
-30 + 15k = (-18 + 12k)

Solving
-30 + 15k = -18 + 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.
-30 + 15k + -12k = -18 + 12k + -12k

Combine like terms: 15k + -12k = 3k
-30 + 3k = -18 + 12k + -12k

Combine like terms: 12k + -12k = 0
-30 + 3k = -18 + 0
-30 + 3k = -18

Add '30' to each side of the equation.
-30 + 30 + 3k = -18 + 30

Combine like terms: -30 + 30 = 0
0 + 3k = -18 + 30
3k = -18 + 30

Combine like terms: -18 + 30 = 12
3k = 12

Divide each side by '3'.
k = 4

Simplifying
k = 4

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