2c+3=5c-21

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Solution for 2c+3=5c-21 equation:


Simplifying
2c + 3 = 5c + -21

Reorder the terms:
3 + 2c = 5c + -21

Reorder the terms:
3 + 2c = -21 + 5c

Solving
3 + 2c = -21 + 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.
3 + 2c + -5c = -21 + 5c + -5c

Combine like terms: 2c + -5c = -3c
3 + -3c = -21 + 5c + -5c

Combine like terms: 5c + -5c = 0
3 + -3c = -21 + 0
3 + -3c = -21

Add '-3' to each side of the equation.
3 + -3 + -3c = -21 + -3

Combine like terms: 3 + -3 = 0
0 + -3c = -21 + -3
-3c = -21 + -3

Combine like terms: -21 + -3 = -24
-3c = -24

Divide each side by '-3'.
c = 8

Simplifying
c = 8

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