5k-3=12-(7-k)

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Solution for 5k-3=12-(7-k) equation:


Simplifying
5k + -3 = 12 + -1(7 + -1k)

Reorder the terms:
-3 + 5k = 12 + -1(7 + -1k)
-3 + 5k = 12 + (7 * -1 + -1k * -1)
-3 + 5k = 12 + (-7 + 1k)

Combine like terms: 12 + -7 = 5
-3 + 5k = 5 + 1k

Solving
-3 + 5k = 5 + 1k

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.
-3 + 5k + -1k = 5 + 1k + -1k

Combine like terms: 5k + -1k = 4k
-3 + 4k = 5 + 1k + -1k

Combine like terms: 1k + -1k = 0
-3 + 4k = 5 + 0
-3 + 4k = 5

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

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

Combine like terms: 5 + 3 = 8
4k = 8

Divide each side by '4'.
k = 2

Simplifying
k = 2

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