56-(2c+4)=4(4+6)+c

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Solution for 56-(2c+4)=4(4+6)+c equation:


Simplifying
56 + -1(2c + 4) = 4(4 + 6) + c

Reorder the terms:
56 + -1(4 + 2c) = 4(4 + 6) + c
56 + (4 * -1 + 2c * -1) = 4(4 + 6) + c
56 + (-4 + -2c) = 4(4 + 6) + c

Combine like terms: 56 + -4 = 52
52 + -2c = 4(4 + 6) + c

Combine like terms: 4 + 6 = 10
52 + -2c = 4(10) + c

Multiply 4 * 10
52 + -2c = 40 + c

Solving
52 + -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.
52 + -2c + -1c = 40 + c + -1c

Combine like terms: -2c + -1c = -3c
52 + -3c = 40 + c + -1c

Combine like terms: c + -1c = 0
52 + -3c = 40 + 0
52 + -3c = 40

Add '-52' to each side of the equation.
52 + -52 + -3c = 40 + -52

Combine like terms: 52 + -52 = 0
0 + -3c = 40 + -52
-3c = 40 + -52

Combine like terms: 40 + -52 = -12
-3c = -12

Divide each side by '-3'.
c = 4

Simplifying
c = 4

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