14+(2k-9)=3k+(7k+13)

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Solution for 14+(2k-9)=3k+(7k+13) equation:


Simplifying
14 + (2k + -9) = 3k + (7k + 13)

Reorder the terms:
14 + (-9 + 2k) = 3k + (7k + 13)

Remove parenthesis around (-9 + 2k)
14 + -9 + 2k = 3k + (7k + 13)

Combine like terms: 14 + -9 = 5
5 + 2k = 3k + (7k + 13)

Reorder the terms:
5 + 2k = 3k + (13 + 7k)

Remove parenthesis around (13 + 7k)
5 + 2k = 3k + 13 + 7k

Reorder the terms:
5 + 2k = 13 + 3k + 7k

Combine like terms: 3k + 7k = 10k
5 + 2k = 13 + 10k

Solving
5 + 2k = 13 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
5 + 2k + -10k = 13 + 10k + -10k

Combine like terms: 2k + -10k = -8k
5 + -8k = 13 + 10k + -10k

Combine like terms: 10k + -10k = 0
5 + -8k = 13 + 0
5 + -8k = 13

Add '-5' to each side of the equation.
5 + -5 + -8k = 13 + -5

Combine like terms: 5 + -5 = 0
0 + -8k = 13 + -5
-8k = 13 + -5

Combine like terms: 13 + -5 = 8
-8k = 8

Divide each side by '-8'.
k = -1

Simplifying
k = -1

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