5k-2=k+10

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Solution for 5k-2=k+10 equation:


Simplifying
5k + -2 = k + 10

Reorder the terms:
-2 + 5k = k + 10

Reorder the terms:
-2 + 5k = 10 + k

Solving
-2 + 5k = 10 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-2 + 5k + -1k = 10 + k + -1k

Combine like terms: 5k + -1k = 4k
-2 + 4k = 10 + k + -1k

Combine like terms: k + -1k = 0
-2 + 4k = 10 + 0
-2 + 4k = 10

Add '2' to each side of the equation.
-2 + 2 + 4k = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4k = 10 + 2
4k = 10 + 2

Combine like terms: 10 + 2 = 12
4k = 12

Divide each side by '4'.
k = 3

Simplifying
k = 3

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