4(k-2)-8=4k-(3k-2)

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Solution for 4(k-2)-8=4k-(3k-2) equation:


Simplifying
4(k + -2) + -8 = 4k + -1(3k + -2)

Reorder the terms:
4(-2 + k) + -8 = 4k + -1(3k + -2)
(-2 * 4 + k * 4) + -8 = 4k + -1(3k + -2)
(-8 + 4k) + -8 = 4k + -1(3k + -2)

Reorder the terms:
-8 + -8 + 4k = 4k + -1(3k + -2)

Combine like terms: -8 + -8 = -16
-16 + 4k = 4k + -1(3k + -2)

Reorder the terms:
-16 + 4k = 4k + -1(-2 + 3k)
-16 + 4k = 4k + (-2 * -1 + 3k * -1)
-16 + 4k = 4k + (2 + -3k)

Reorder the terms:
-16 + 4k = 2 + 4k + -3k

Combine like terms: 4k + -3k = 1k
-16 + 4k = 2 + 1k

Solving
-16 + 4k = 2 + 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-16 + 4k + -1k = 2 + 1k + -1k

Combine like terms: 4k + -1k = 3k
-16 + 3k = 2 + 1k + -1k

Combine like terms: 1k + -1k = 0
-16 + 3k = 2 + 0
-16 + 3k = 2

Add '16' to each side of the equation.
-16 + 16 + 3k = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 3k = 2 + 16
3k = 2 + 16

Combine like terms: 2 + 16 = 18
3k = 18

Divide each side by '3'.
k = 6

Simplifying
k = 6

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