12C-42=5C-7

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Solution for 12C-42=5C-7 equation:


Simplifying
12C + -42 = 5C + -7

Reorder the terms:
-42 + 12C = 5C + -7

Reorder the terms:
-42 + 12C = -7 + 5C

Solving
-42 + 12C = -7 + 5C

Solving for variable 'C'.

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

Add '-5C' to each side of the equation.
-42 + 12C + -5C = -7 + 5C + -5C

Combine like terms: 12C + -5C = 7C
-42 + 7C = -7 + 5C + -5C

Combine like terms: 5C + -5C = 0
-42 + 7C = -7 + 0
-42 + 7C = -7

Add '42' to each side of the equation.
-42 + 42 + 7C = -7 + 42

Combine like terms: -42 + 42 = 0
0 + 7C = -7 + 42
7C = -7 + 42

Combine like terms: -7 + 42 = 35
7C = 35

Divide each side by '7'.
C = 5

Simplifying
C = 5

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