5k+4=2k-5

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Solution for 5k+4=2k-5 equation:


Simplifying
5k + 4 = 2k + -5

Reorder the terms:
4 + 5k = 2k + -5

Reorder the terms:
4 + 5k = -5 + 2k

Solving
4 + 5k = -5 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
4 + 5k + -2k = -5 + 2k + -2k

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

Combine like terms: 2k + -2k = 0
4 + 3k = -5 + 0
4 + 3k = -5

Add '-4' to each side of the equation.
4 + -4 + 3k = -5 + -4

Combine like terms: 4 + -4 = 0
0 + 3k = -5 + -4
3k = -5 + -4

Combine like terms: -5 + -4 = -9
3k = -9

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

Simplifying
k = -3

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