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

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


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

Reorder the terms:
5(3 + k) = 2(k + 7) + -5
(3 * 5 + k * 5) = 2(k + 7) + -5
(15 + 5k) = 2(k + 7) + -5

Reorder the terms:
15 + 5k = 2(7 + k) + -5
15 + 5k = (7 * 2 + k * 2) + -5
15 + 5k = (14 + 2k) + -5

Reorder the terms:
15 + 5k = 14 + -5 + 2k

Combine like terms: 14 + -5 = 9
15 + 5k = 9 + 2k

Solving
15 + 5k = 9 + 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.
15 + 5k + -2k = 9 + 2k + -2k

Combine like terms: 5k + -2k = 3k
15 + 3k = 9 + 2k + -2k

Combine like terms: 2k + -2k = 0
15 + 3k = 9 + 0
15 + 3k = 9

Add '-15' to each side of the equation.
15 + -15 + 3k = 9 + -15

Combine like terms: 15 + -15 = 0
0 + 3k = 9 + -15
3k = 9 + -15

Combine like terms: 9 + -15 = -6
3k = -6

Divide each side by '3'.
k = -2

Simplifying
k = -2

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