3c+4=5c-6

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Solution for 3c+4=5c-6 equation:


Simplifying
3c + 4 = 5c + -6

Reorder the terms:
4 + 3c = 5c + -6

Reorder the terms:
4 + 3c = -6 + 5c

Solving
4 + 3c = -6 + 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.
4 + 3c + -5c = -6 + 5c + -5c

Combine like terms: 3c + -5c = -2c
4 + -2c = -6 + 5c + -5c

Combine like terms: 5c + -5c = 0
4 + -2c = -6 + 0
4 + -2c = -6

Add '-4' to each side of the equation.
4 + -4 + -2c = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -2c = -6 + -4
-2c = -6 + -4

Combine like terms: -6 + -4 = -10
-2c = -10

Divide each side by '-2'.
c = 5

Simplifying
c = 5

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