2(k-1)=4+3(2+k)

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Solution for 2(k-1)=4+3(2+k) equation: 


Simplifying
2(k + -1) = 4 + 3(2 + k)

Reorder the terms:
2(-1 + k) = 4 + 3(2 + k)
(-1 * 2 + k * 2) = 4 + 3(2 + k)
(-2 + 2k) = 4 + 3(2 + k)
-2 + 2k = 4 + (2 * 3 + k * 3)
-2 + 2k = 4 + (6 + 3k)

Combine like terms: 4 + 6 = 10
-2 + 2k = 10 + 3k

Solving
-2 + 2k = 10 + 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.
-2 + 2k + -3k = 10 + 3k + -3k

Combine like terms: 2k + -3k = -1k
-2 + -1k = 10 + 3k + -3k

Combine like terms: 3k + -3k = 0
-2 + -1k = 10 + 0
-2 + -1k = 10

Add '2' to each side of the equation.
-2 + 2 + -1k = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -1k = 10 + 2
-1k = 10 + 2

Combine like terms: 10 + 2 = 12
-1k = 12

Divide each side by '-1'.
k = -12

Simplifying
k = -12

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