7(k+2)=5(k+4)

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


Simplifying
7(k + 2) = 5(k + 4)

Reorder the terms:
7(2 + k) = 5(k + 4)
(2 * 7 + k * 7) = 5(k + 4)
(14 + 7k) = 5(k + 4)

Reorder the terms:
14 + 7k = 5(4 + k)
14 + 7k = (4 * 5 + k * 5)
14 + 7k = (20 + 5k)

Solving
14 + 7k = 20 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
14 + 7k + -5k = 20 + 5k + -5k

Combine like terms: 7k + -5k = 2k
14 + 2k = 20 + 5k + -5k

Combine like terms: 5k + -5k = 0
14 + 2k = 20 + 0
14 + 2k = 20

Add '-14' to each side of the equation.
14 + -14 + 2k = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 2k = 20 + -14
2k = 20 + -14

Combine like terms: 20 + -14 = 6
2k = 6

Divide each side by '2'.
k = 3

Simplifying
k = 3

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