3(k+5)-(5-7k)=9k

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Solution for 3(k+5)-(5-7k)=9k equation: 


Simplifying
3(k + 5) + -1(5 + -7k) = 9k

Reorder the terms:
3(5 + k) + -1(5 + -7k) = 9k
(5 * 3 + k * 3) + -1(5 + -7k) = 9k
(15 + 3k) + -1(5 + -7k) = 9k
15 + 3k + (5 * -1 + -7k * -1) = 9k
15 + 3k + (-5 + 7k) = 9k

Reorder the terms:
15 + -5 + 3k + 7k = 9k

Combine like terms: 15 + -5 = 10
10 + 3k + 7k = 9k

Combine like terms: 3k + 7k = 10k
10 + 10k = 9k

Solving
10 + 10k = 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
10 + 10k + -9k = 9k + -9k

Combine like terms: 10k + -9k = 1k
10 + 1k = 9k + -9k

Combine like terms: 9k + -9k = 0
10 + 1k = 0

Add '-10' to each side of the equation.
10 + -10 + 1k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 1k = 0 + -10
1k = 0 + -10

Combine like terms: 0 + -10 = -10
1k = -10

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

Simplifying
k = -10

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