2c+8=5c-10

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Solution for 2c+8=5c-10 equation:


Simplifying
2c + 8 = 5c + -10

Reorder the terms:
8 + 2c = 5c + -10

Reorder the terms:
8 + 2c = -10 + 5c

Solving
8 + 2c = -10 + 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.
8 + 2c + -5c = -10 + 5c + -5c

Combine like terms: 2c + -5c = -3c
8 + -3c = -10 + 5c + -5c

Combine like terms: 5c + -5c = 0
8 + -3c = -10 + 0
8 + -3c = -10

Add '-8' to each side of the equation.
8 + -8 + -3c = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -3c = -10 + -8
-3c = -10 + -8

Combine like terms: -10 + -8 = -18
-3c = -18

Divide each side by '-3'.
c = 6

Simplifying
c = 6

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