52-(2c+3)=(c+7)+c

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Solution for 52-(2c+3)=(c+7)+c equation: 


Simplifying
52 + -1(2c + 3) = (c + 7) + c

Reorder the terms:
52 + -1(3 + 2c) = (c + 7) + c
52 + (3 * -1 + 2c * -1) = (c + 7) + c
52 + (-3 + -2c) = (c + 7) + c

Combine like terms: 52 + -3 = 49
49 + -2c = (c + 7) + c

Reorder the terms:
49 + -2c = (7 + c) + c

Remove parenthesis around (7 + c)
49 + -2c = 7 + c + c

Combine like terms: c + c = 2c
49 + -2c = 7 + 2c

Solving
49 + -2c = 7 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
49 + -2c + -2c = 7 + 2c + -2c

Combine like terms: -2c + -2c = -4c
49 + -4c = 7 + 2c + -2c

Combine like terms: 2c + -2c = 0
49 + -4c = 7 + 0
49 + -4c = 7

Add '-49' to each side of the equation.
49 + -49 + -4c = 7 + -49

Combine like terms: 49 + -49 = 0
0 + -4c = 7 + -49
-4c = 7 + -49

Combine like terms: 7 + -49 = -42
-4c = -42

Divide each side by '-4'.
c = 10.5

Simplifying
c = 10.5

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