2c+8=3c-6+10

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Solution for 2c+8=3c-6+10 equation: 


Simplifying
2c + 8 = 3c + -6 + 10

Reorder the terms:
8 + 2c = 3c + -6 + 10

Reorder the terms:
8 + 2c = -6 + 10 + 3c

Combine like terms: -6 + 10 = 4
8 + 2c = 4 + 3c

Solving
8 + 2c = 4 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
8 + 2c + -3c = 4 + 3c + -3c

Combine like terms: 2c + -3c = -1c
8 + -1c = 4 + 3c + -3c

Combine like terms: 3c + -3c = 0
8 + -1c = 4 + 0
8 + -1c = 4

Add '-8' to each side of the equation.
8 + -8 + -1c = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -1c = 4 + -8
-1c = 4 + -8

Combine like terms: 4 + -8 = -4
-1c = -4

Divide each side by '-1'.
c = 4

Simplifying
c = 4

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