3(c-4)-2(3x+4)=4(3-x)+5x+4

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Solution for 3(c-4)-2(3x+4)=4(3-x)+5x+4 equation: 


Simplifying
3(c + -4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4

Reorder the terms:
3(-4 + c) + -2(3x + 4) = 4(3 + -1x) + 5x + 4
(-4 * 3 + c * 3) + -2(3x + 4) = 4(3 + -1x) + 5x + 4
(-12 + 3c) + -2(3x + 4) = 4(3 + -1x) + 5x + 4

Reorder the terms:
-12 + 3c + -2(4 + 3x) = 4(3 + -1x) + 5x + 4
-12 + 3c + (4 * -2 + 3x * -2) = 4(3 + -1x) + 5x + 4
-12 + 3c + (-8 + -6x) = 4(3 + -1x) + 5x + 4

Reorder the terms:
-12 + -8 + 3c + -6x = 4(3 + -1x) + 5x + 4

Combine like terms: -12 + -8 = -20
-20 + 3c + -6x = 4(3 + -1x) + 5x + 4
-20 + 3c + -6x = (3 * 4 + -1x * 4) + 5x + 4
-20 + 3c + -6x = (12 + -4x) + 5x + 4

Reorder the terms:
-20 + 3c + -6x = 12 + 4 + -4x + 5x

Combine like terms: 12 + 4 = 16
-20 + 3c + -6x = 16 + -4x + 5x

Combine like terms: -4x + 5x = 1x
-20 + 3c + -6x = 16 + 1x

Solving
-20 + 3c + -6x = 16 + 1x

Solving for variable 'c'.

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

Add '20' to each side of the equation.
-20 + 3c + 20 + -6x = 16 + 20 + 1x

Reorder the terms:
-20 + 20 + 3c + -6x = 16 + 20 + 1x

Combine like terms: -20 + 20 = 0
0 + 3c + -6x = 16 + 20 + 1x
3c + -6x = 16 + 20 + 1x

Combine like terms: 16 + 20 = 36
3c + -6x = 36 + 1x

Add '6x' to each side of the equation.
3c + -6x + 6x = 36 + 1x + 6x

Combine like terms: -6x + 6x = 0
3c + 0 = 36 + 1x + 6x
3c = 36 + 1x + 6x

Combine like terms: 1x + 6x = 7x
3c = 36 + 7x

Divide each side by '3'.
c = 12 + 2.333333333x

Simplifying
c = 12 + 2.333333333x

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