2c+7=5c-2

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Solution for 2c+7=5c-2 equation:


Simplifying
2c + 7 = 5c + -2

Reorder the terms:
7 + 2c = 5c + -2

Reorder the terms:
7 + 2c = -2 + 5c

Solving
7 + 2c = -2 + 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.
7 + 2c + -5c = -2 + 5c + -5c

Combine like terms: 2c + -5c = -3c
7 + -3c = -2 + 5c + -5c

Combine like terms: 5c + -5c = 0
7 + -3c = -2 + 0
7 + -3c = -2

Add '-7' to each side of the equation.
7 + -7 + -3c = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -3c = -2 + -7
-3c = -2 + -7

Combine like terms: -2 + -7 = -9
-3c = -9

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

Simplifying
c = 3

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