4(k+1)=2(k+8)

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Solution for 4(k+1)=2(k+8) equation: 


Simplifying
4(k + 1) = 2(k + 8)

Reorder the terms:
4(1 + k) = 2(k + 8)
(1 * 4 + k * 4) = 2(k + 8)
(4 + 4k) = 2(k + 8)

Reorder the terms:
4 + 4k = 2(8 + k)
4 + 4k = (8 * 2 + k * 2)
4 + 4k = (16 + 2k)

Solving
4 + 4k = 16 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
4 + 4k + -2k = 16 + 2k + -2k

Combine like terms: 4k + -2k = 2k
4 + 2k = 16 + 2k + -2k

Combine like terms: 2k + -2k = 0
4 + 2k = 16 + 0
4 + 2k = 16

Add '-4' to each side of the equation.
4 + -4 + 2k = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 2k = 16 + -4
2k = 16 + -4

Combine like terms: 16 + -4 = 12
2k = 12

Divide each side by '2'.
k = 6

Simplifying
k = 6

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