5(2-3k)=-3(4k-7)

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Solution for 5(2-3k)=-3(4k-7) equation:


Simplifying
5(2 + -3k) = -3(4k + -7)
(2 * 5 + -3k * 5) = -3(4k + -7)
(10 + -15k) = -3(4k + -7)

Reorder the terms:
10 + -15k = -3(-7 + 4k)
10 + -15k = (-7 * -3 + 4k * -3)
10 + -15k = (21 + -12k)

Solving
10 + -15k = 21 + -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.
10 + -15k + 12k = 21 + -12k + 12k

Combine like terms: -15k + 12k = -3k
10 + -3k = 21 + -12k + 12k

Combine like terms: -12k + 12k = 0
10 + -3k = 21 + 0
10 + -3k = 21

Add '-10' to each side of the equation.
10 + -10 + -3k = 21 + -10

Combine like terms: 10 + -10 = 0
0 + -3k = 21 + -10
-3k = 21 + -10

Combine like terms: 21 + -10 = 11
-3k = 11

Divide each side by '-3'.
k = -3.666666667

Simplifying
k = -3.666666667

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