3(5k+1)=6(3k-2)

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Solution for 3(5k+1)=6(3k-2) equation:


Simplifying
3(5k + 1) = 6(3k + -2)

Reorder the terms:
3(1 + 5k) = 6(3k + -2)
(1 * 3 + 5k * 3) = 6(3k + -2)
(3 + 15k) = 6(3k + -2)

Reorder the terms:
3 + 15k = 6(-2 + 3k)
3 + 15k = (-2 * 6 + 3k * 6)
3 + 15k = (-12 + 18k)

Solving
3 + 15k = -12 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
3 + 15k + -18k = -12 + 18k + -18k

Combine like terms: 15k + -18k = -3k
3 + -3k = -12 + 18k + -18k

Combine like terms: 18k + -18k = 0
3 + -3k = -12 + 0
3 + -3k = -12

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

Combine like terms: 3 + -3 = 0
0 + -3k = -12 + -3
-3k = -12 + -3

Combine like terms: -12 + -3 = -15
-3k = -15

Divide each side by '-3'.
k = 5

Simplifying
k = 5

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