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

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


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

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

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

Solving
15 + 6k = 5 + 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.
15 + 6k + -5k = 5 + 5k + -5k

Combine like terms: 6k + -5k = 1k
15 + 1k = 5 + 5k + -5k

Combine like terms: 5k + -5k = 0
15 + 1k = 5 + 0
15 + 1k = 5

Add '-15' to each side of the equation.
15 + -15 + 1k = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 1k = 5 + -15
1k = 5 + -15

Combine like terms: 5 + -15 = -10
1k = -10

Divide each side by '1'.
k = -10

Simplifying
k = -10

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