2(3k+5)=-2k+2(2k+7)

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Solution for 2(3k+5)=-2k+2(2k+7) equation: 


Simplifying
2(3k + 5) = -2k + 2(2k + 7)

Reorder the terms:
2(5 + 3k) = -2k + 2(2k + 7)
(5 * 2 + 3k * 2) = -2k + 2(2k + 7)
(10 + 6k) = -2k + 2(2k + 7)

Reorder the terms:
10 + 6k = -2k + 2(7 + 2k)
10 + 6k = -2k + (7 * 2 + 2k * 2)
10 + 6k = -2k + (14 + 4k)

Reorder the terms:
10 + 6k = 14 + -2k + 4k

Combine like terms: -2k + 4k = 2k
10 + 6k = 14 + 2k

Solving
10 + 6k = 14 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
10 + 6k + -2k = 14 + 2k + -2k

Combine like terms: 6k + -2k = 4k
10 + 4k = 14 + 2k + -2k

Combine like terms: 2k + -2k = 0
10 + 4k = 14 + 0
10 + 4k = 14

Add '-10' to each side of the equation.
10 + -10 + 4k = 14 + -10

Combine like terms: 10 + -10 = 0
0 + 4k = 14 + -10
4k = 14 + -10

Combine like terms: 14 + -10 = 4
4k = 4

Divide each side by '4'.
k = 1

Simplifying
k = 1

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