2(3k+5)=2(2k+10)

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Solution for 2(3k+5)=2(2k+10) equation: 


Simplifying
2(3k + 5) = 2(2k + 10)

Reorder the terms:
2(5 + 3k) = 2(2k + 10)
(5 * 2 + 3k * 2) = 2(2k + 10)
(10 + 6k) = 2(2k + 10)

Reorder the terms:
10 + 6k = 2(10 + 2k)
10 + 6k = (10 * 2 + 2k * 2)
10 + 6k = (20 + 4k)

Solving
10 + 6k = 20 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
10 + 6k + -4k = 20 + 4k + -4k

Combine like terms: 6k + -4k = 2k
10 + 2k = 20 + 4k + -4k

Combine like terms: 4k + -4k = 0
10 + 2k = 20 + 0
10 + 2k = 20

Add '-10' to each side of the equation.
10 + -10 + 2k = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 2k = 20 + -10
2k = 20 + -10

Combine like terms: 20 + -10 = 10
2k = 10

Divide each side by '2'.
k = 5

Simplifying
k = 5

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