10c+8=14c-20

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Solution for 10c+8=14c-20 equation:


Simplifying
10c + 8 = 14c + -20

Reorder the terms:
8 + 10c = 14c + -20

Reorder the terms:
8 + 10c = -20 + 14c

Solving
8 + 10c = -20 + 14c

Solving for variable 'c'.

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

Add '-14c' to each side of the equation.
8 + 10c + -14c = -20 + 14c + -14c

Combine like terms: 10c + -14c = -4c
8 + -4c = -20 + 14c + -14c

Combine like terms: 14c + -14c = 0
8 + -4c = -20 + 0
8 + -4c = -20

Add '-8' to each side of the equation.
8 + -8 + -4c = -20 + -8

Combine like terms: 8 + -8 = 0
0 + -4c = -20 + -8
-4c = -20 + -8

Combine like terms: -20 + -8 = -28
-4c = -28

Divide each side by '-4'.
c = 7

Simplifying
c = 7

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