2c+3=3c-5

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


Simplifying
2c + 3 = 3c + -5

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

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

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

Combine like terms: 2c + -3c = -1c
3 + -1c = -5 + 3c + -3c

Combine like terms: 3c + -3c = 0
3 + -1c = -5 + 0
3 + -1c = -5

Add '-3' to each side of the equation.
3 + -3 + -1c = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = -5 + -3
-1c = -5 + -3

Combine like terms: -5 + -3 = -8
-1c = -8

Divide each side by '-1'.
c = 8

Simplifying
c = 8

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