6(3k+1)-30=3(2k-4)

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Solution for 6(3k+1)-30=3(2k-4) equation:


Simplifying
6(3k + 1) + -30 = 3(2k + -4)

Reorder the terms:
6(1 + 3k) + -30 = 3(2k + -4)
(1 * 6 + 3k * 6) + -30 = 3(2k + -4)
(6 + 18k) + -30 = 3(2k + -4)

Reorder the terms:
6 + -30 + 18k = 3(2k + -4)

Combine like terms: 6 + -30 = -24
-24 + 18k = 3(2k + -4)

Reorder the terms:
-24 + 18k = 3(-4 + 2k)
-24 + 18k = (-4 * 3 + 2k * 3)
-24 + 18k = (-12 + 6k)

Solving
-24 + 18k = -12 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
-24 + 18k + -6k = -12 + 6k + -6k

Combine like terms: 18k + -6k = 12k
-24 + 12k = -12 + 6k + -6k

Combine like terms: 6k + -6k = 0
-24 + 12k = -12 + 0
-24 + 12k = -12

Add '24' to each side of the equation.
-24 + 24 + 12k = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 12k = -12 + 24
12k = -12 + 24

Combine like terms: -12 + 24 = 12
12k = 12

Divide each side by '12'.
k = 1

Simplifying
k = 1

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