2c+7=4c-5

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Solution for 2c+7=4c-5 equation:


Simplifying
2c + 7 = 4c + -5

Reorder the terms:
7 + 2c = 4c + -5

Reorder the terms:
7 + 2c = -5 + 4c

Solving
7 + 2c = -5 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
7 + 2c + -4c = -5 + 4c + -4c

Combine like terms: 2c + -4c = -2c
7 + -2c = -5 + 4c + -4c

Combine like terms: 4c + -4c = 0
7 + -2c = -5 + 0
7 + -2c = -5

Add '-7' to each side of the equation.
7 + -7 + -2c = -5 + -7

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

Combine like terms: -5 + -7 = -12
-2c = -12

Divide each side by '-2'.
c = 6

Simplifying
c = 6

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