52-(2c+3)=4(3+7)+c

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Solution for 52-(2c+3)=4(3+7)+c equation: 


Simplifying
52 + -1(2c + 3) = 4(3 + 7) + c

Reorder the terms:
52 + -1(3 + 2c) = 4(3 + 7) + c
52 + (3 * -1 + 2c * -1) = 4(3 + 7) + c
52 + (-3 + -2c) = 4(3 + 7) + c

Combine like terms: 52 + -3 = 49
49 + -2c = 4(3 + 7) + c

Combine like terms: 3 + 7 = 10
49 + -2c = 4(10) + c

Multiply 4 * 10
49 + -2c = 40 + c

Solving
49 + -2c = 40 + c

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
49 + -2c + -1c = 40 + c + -1c

Combine like terms: -2c + -1c = -3c
49 + -3c = 40 + c + -1c

Combine like terms: c + -1c = 0
49 + -3c = 40 + 0
49 + -3c = 40

Add '-49' to each side of the equation.
49 + -49 + -3c = 40 + -49

Combine like terms: 49 + -49 = 0
0 + -3c = 40 + -49
-3c = 40 + -49

Combine like terms: 40 + -49 = -9
-3c = -9

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

Simplifying
c = 3

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