3(k+3)=12k-4

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Solution for 3(k+3)=12k-4 equation:


Simplifying
3(k + 3) = 12k + -4

Reorder the terms:
3(3 + k) = 12k + -4
(3 * 3 + k * 3) = 12k + -4
(9 + 3k) = 12k + -4

Reorder the terms:
9 + 3k = -4 + 12k

Solving
9 + 3k = -4 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
9 + 3k + -12k = -4 + 12k + -12k

Combine like terms: 3k + -12k = -9k
9 + -9k = -4 + 12k + -12k

Combine like terms: 12k + -12k = 0
9 + -9k = -4 + 0
9 + -9k = -4

Add '-9' to each side of the equation.
9 + -9 + -9k = -4 + -9

Combine like terms: 9 + -9 = 0
0 + -9k = -4 + -9
-9k = -4 + -9

Combine like terms: -4 + -9 = -13
-9k = -13

Divide each side by '-9'.
k = 1.444444444

Simplifying
k = 1.444444444

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