5(k+2)=3(k+8)

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Solution for 5(k+2)=3(k+8) equation:


Simplifying
5(k + 2) = 3(k + 8)

Reorder the terms:
5(2 + k) = 3(k + 8)
(2 * 5 + k * 5) = 3(k + 8)
(10 + 5k) = 3(k + 8)

Reorder the terms:
10 + 5k = 3(8 + k)
10 + 5k = (8 * 3 + k * 3)
10 + 5k = (24 + 3k)

Solving
10 + 5k = 24 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
10 + 5k + -3k = 24 + 3k + -3k

Combine like terms: 5k + -3k = 2k
10 + 2k = 24 + 3k + -3k

Combine like terms: 3k + -3k = 0
10 + 2k = 24 + 0
10 + 2k = 24

Add '-10' to each side of the equation.
10 + -10 + 2k = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 2k = 24 + -10
2k = 24 + -10

Combine like terms: 24 + -10 = 14
2k = 14

Divide each side by '2'.
k = 7

Simplifying
k = 7

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