6k+3(k-2)=5k+12

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Solution for 6k+3(k-2)=5k+12 equation:


Simplifying
6k + 3(k + -2) = 5k + 12

Reorder the terms:
6k + 3(-2 + k) = 5k + 12
6k + (-2 * 3 + k * 3) = 5k + 12
6k + (-6 + 3k) = 5k + 12

Reorder the terms:
-6 + 6k + 3k = 5k + 12

Combine like terms: 6k + 3k = 9k
-6 + 9k = 5k + 12

Reorder the terms:
-6 + 9k = 12 + 5k

Solving
-6 + 9k = 12 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-6 + 9k + -5k = 12 + 5k + -5k

Combine like terms: 9k + -5k = 4k
-6 + 4k = 12 + 5k + -5k

Combine like terms: 5k + -5k = 0
-6 + 4k = 12 + 0
-6 + 4k = 12

Add '6' to each side of the equation.
-6 + 6 + 4k = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 4k = 12 + 6
4k = 12 + 6

Combine like terms: 12 + 6 = 18
4k = 18

Divide each side by '4'.
k = 4.5

Simplifying
k = 4.5

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