56-(3c+4)=(c+5)+c

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Solution for 56-(3c+4)=(c+5)+c equation:


Simplifying
56 + -1(3c + 4) = (c + 5) + c

Reorder the terms:
56 + -1(4 + 3c) = (c + 5) + c
56 + (4 * -1 + 3c * -1) = (c + 5) + c
56 + (-4 + -3c) = (c + 5) + c

Combine like terms: 56 + -4 = 52
52 + -3c = (c + 5) + c

Reorder the terms:
52 + -3c = (5 + c) + c

Remove parenthesis around (5 + c)
52 + -3c = 5 + c + c

Combine like terms: c + c = 2c
52 + -3c = 5 + 2c

Solving
52 + -3c = 5 + 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.
52 + -3c + -2c = 5 + 2c + -2c

Combine like terms: -3c + -2c = -5c
52 + -5c = 5 + 2c + -2c

Combine like terms: 2c + -2c = 0
52 + -5c = 5 + 0
52 + -5c = 5

Add '-52' to each side of the equation.
52 + -52 + -5c = 5 + -52

Combine like terms: 52 + -52 = 0
0 + -5c = 5 + -52
-5c = 5 + -52

Combine like terms: 5 + -52 = -47
-5c = -47

Divide each side by '-5'.
c = 9.4

Simplifying
c = 9.4

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