5k-2[3k+2(k-4)]=4k-5

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Solution for 5k-2[3k+2(k-4)]=4k-5 equation:


Simplifying
5k + -2[3k + 2(k + -4)] = 4k + -5

Reorder the terms:
5k + -2[3k + 2(-4 + k)] = 4k + -5
5k + -2[3k + (-4 * 2 + k * 2)] = 4k + -5
5k + -2[3k + (-8 + 2k)] = 4k + -5

Reorder the terms:
5k + -2[-8 + 3k + 2k] = 4k + -5

Combine like terms: 3k + 2k = 5k
5k + -2[-8 + 5k] = 4k + -5
5k + [-8 * -2 + 5k * -2] = 4k + -5
5k + [16 + -10k] = 4k + -5

Reorder the terms:
16 + 5k + -10k = 4k + -5

Combine like terms: 5k + -10k = -5k
16 + -5k = 4k + -5

Reorder the terms:
16 + -5k = -5 + 4k

Solving
16 + -5k = -5 + 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.
16 + -5k + -4k = -5 + 4k + -4k

Combine like terms: -5k + -4k = -9k
16 + -9k = -5 + 4k + -4k

Combine like terms: 4k + -4k = 0
16 + -9k = -5 + 0
16 + -9k = -5

Add '-16' to each side of the equation.
16 + -16 + -9k = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -9k = -5 + -16
-9k = -5 + -16

Combine like terms: -5 + -16 = -21
-9k = -21

Divide each side by '-9'.
k = 2.333333333

Simplifying
k = 2.333333333

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