5k-8=3k-2

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Solution for 5k-8=3k-2 equation:


Simplifying
5k + -8 = 3k + -2

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

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

Solving
-8 + 5k = -2 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
-8 + 5k + -3k = -2 + 3k + -3k

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

Combine like terms: 3k + -3k = 0
-8 + 2k = -2 + 0
-8 + 2k = -2

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

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

Combine like terms: -2 + 8 = 6
2k = 6

Divide each side by '2'.
k = 3

Simplifying
k = 3

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