5(k+2)=12+4(2k-1)

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Solution for 5(k+2)=12+4(2k-1) equation:


Simplifying
5(k + 2) = 12 + 4(2k + -1)

Reorder the terms:
5(2 + k) = 12 + 4(2k + -1)
(2 * 5 + k * 5) = 12 + 4(2k + -1)
(10 + 5k) = 12 + 4(2k + -1)

Reorder the terms:
10 + 5k = 12 + 4(-1 + 2k)
10 + 5k = 12 + (-1 * 4 + 2k * 4)
10 + 5k = 12 + (-4 + 8k)

Combine like terms: 12 + -4 = 8
10 + 5k = 8 + 8k

Solving
10 + 5k = 8 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
10 + 5k + -8k = 8 + 8k + -8k

Combine like terms: 5k + -8k = -3k
10 + -3k = 8 + 8k + -8k

Combine like terms: 8k + -8k = 0
10 + -3k = 8 + 0
10 + -3k = 8

Add '-10' to each side of the equation.
10 + -10 + -3k = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -3k = 8 + -10
-3k = 8 + -10

Combine like terms: 8 + -10 = -2
-3k = -2

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667

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