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

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


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

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

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

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

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

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

Reorder the terms:
-9 + c + 2k = 13 + 3k + 7k

Combine like terms: 3k + 7k = 10k
-9 + c + 2k = 13 + 10k

Solving
-9 + c + 2k = 13 + 10k

Solving for variable 'c'.

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

Add '9' to each side of the equation.
-9 + c + 9 + 2k = 13 + 9 + 10k

Reorder the terms:
-9 + 9 + c + 2k = 13 + 9 + 10k

Combine like terms: -9 + 9 = 0
0 + c + 2k = 13 + 9 + 10k
c + 2k = 13 + 9 + 10k

Combine like terms: 13 + 9 = 22
c + 2k = 22 + 10k

Add '-2k' to each side of the equation.
c + 2k + -2k = 22 + 10k + -2k

Combine like terms: 2k + -2k = 0
c + 0 = 22 + 10k + -2k
c = 22 + 10k + -2k

Combine like terms: 10k + -2k = 8k
c = 22 + 8k

Simplifying
c = 22 + 8k

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