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

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


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

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

Remove parenthesis around (4 + k)
4 + k + k + (3k + -2) = (2k + -3) + (3k + -5)

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

Remove parenthesis around (-2 + 3k)
4 + k + k + -2 + 3k = (2k + -3) + (3k + -5)

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

Combine like terms: 4 + -2 = 2
2 + k + k + 3k = (2k + -3) + (3k + -5)

Combine like terms: k + k = 2k
2 + 2k + 3k = (2k + -3) + (3k + -5)

Combine like terms: 2k + 3k = 5k
2 + 5k = (2k + -3) + (3k + -5)

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

Remove parenthesis around (-3 + 2k)
2 + 5k = -3 + 2k + (3k + -5)

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

Remove parenthesis around (-5 + 3k)
2 + 5k = -3 + 2k + -5 + 3k

Reorder the terms:
2 + 5k = -3 + -5 + 2k + 3k

Combine like terms: -3 + -5 = -8
2 + 5k = -8 + 2k + 3k

Combine like terms: 2k + 3k = 5k
2 + 5k = -8 + 5k

Add '-5k' to each side of the equation.
2 + 5k + -5k = -8 + 5k + -5k

Combine like terms: 5k + -5k = 0
2 + 0 = -8 + 5k + -5k
2 = -8 + 5k + -5k

Combine like terms: 5k + -5k = 0
2 = -8 + 0
2 = -8

Solving
2 = -8

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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