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

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


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

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

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

Combine like terms: 2k + -8k = -6k
-8 + -6k = -4(k + -2)

Reorder the terms:
-8 + -6k = -4(-2 + k)
-8 + -6k = (-2 * -4 + k * -4)
-8 + -6k = (8 + -4k)

Solving
-8 + -6k = 8 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
-8 + -6k + 4k = 8 + -4k + 4k

Combine like terms: -6k + 4k = -2k
-8 + -2k = 8 + -4k + 4k

Combine like terms: -4k + 4k = 0
-8 + -2k = 8 + 0
-8 + -2k = 8

Add '8' to each side of the equation.
-8 + 8 + -2k = 8 + 8

Combine like terms: -8 + 8 = 0
0 + -2k = 8 + 8
-2k = 8 + 8

Combine like terms: 8 + 8 = 16
-2k = 16

Divide each side by '-2'.
k = -8

Simplifying
k = -8

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