(5-3c)-(4c+6)=(8c+11)-(3c-6)

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Solution for (5-3c)-(4c+6)=(8c+11)-(3c-6) equation: 


Simplifying
(5 + -3c) + -1(4c + 6) = (8c + 11) + -1(3c + -6)

Remove parenthesis around (5 + -3c)
5 + -3c + -1(4c + 6) = (8c + 11) + -1(3c + -6)

Reorder the terms:
5 + -3c + -1(6 + 4c) = (8c + 11) + -1(3c + -6)
5 + -3c + (6 * -1 + 4c * -1) = (8c + 11) + -1(3c + -6)
5 + -3c + (-6 + -4c) = (8c + 11) + -1(3c + -6)

Reorder the terms:
5 + -6 + -3c + -4c = (8c + 11) + -1(3c + -6)

Combine like terms: 5 + -6 = -1
-1 + -3c + -4c = (8c + 11) + -1(3c + -6)

Combine like terms: -3c + -4c = -7c
-1 + -7c = (8c + 11) + -1(3c + -6)

Reorder the terms:
-1 + -7c = (11 + 8c) + -1(3c + -6)

Remove parenthesis around (11 + 8c)
-1 + -7c = 11 + 8c + -1(3c + -6)

Reorder the terms:
-1 + -7c = 11 + 8c + -1(-6 + 3c)
-1 + -7c = 11 + 8c + (-6 * -1 + 3c * -1)
-1 + -7c = 11 + 8c + (6 + -3c)

Reorder the terms:
-1 + -7c = 11 + 6 + 8c + -3c

Combine like terms: 11 + 6 = 17
-1 + -7c = 17 + 8c + -3c

Combine like terms: 8c + -3c = 5c
-1 + -7c = 17 + 5c

Solving
-1 + -7c = 17 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
-1 + -7c + -5c = 17 + 5c + -5c

Combine like terms: -7c + -5c = -12c
-1 + -12c = 17 + 5c + -5c

Combine like terms: 5c + -5c = 0
-1 + -12c = 17 + 0
-1 + -12c = 17

Add '1' to each side of the equation.
-1 + 1 + -12c = 17 + 1

Combine like terms: -1 + 1 = 0
0 + -12c = 17 + 1
-12c = 17 + 1

Combine like terms: 17 + 1 = 18
-12c = 18

Divide each side by '-12'.
c = -1.5

Simplifying
c = -1.5

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