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

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


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

Reorder the terms:
5(-2 + k) = 3k + 4(2k + 2)
(-2 * 5 + k * 5) = 3k + 4(2k + 2)
(-10 + 5k) = 3k + 4(2k + 2)

Reorder the terms:
-10 + 5k = 3k + 4(2 + 2k)
-10 + 5k = 3k + (2 * 4 + 2k * 4)
-10 + 5k = 3k + (8 + 8k)

Reorder the terms:
-10 + 5k = 8 + 3k + 8k

Combine like terms: 3k + 8k = 11k
-10 + 5k = 8 + 11k

Solving
-10 + 5k = 8 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
-10 + 5k + -11k = 8 + 11k + -11k

Combine like terms: 5k + -11k = -6k
-10 + -6k = 8 + 11k + -11k

Combine like terms: 11k + -11k = 0
-10 + -6k = 8 + 0
-10 + -6k = 8

Add '10' to each side of the equation.
-10 + 10 + -6k = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -6k = 8 + 10
-6k = 8 + 10

Combine like terms: 8 + 10 = 18
-6k = 18

Divide each side by '-6'.
k = -3

Simplifying
k = -3

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