2(3x+6)=5(2x-4)-4c

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Solution for 2(3x+6)=5(2x-4)-4c equation: 


Simplifying
2(3x + 6) = 5(2x + -4) + -4c

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

Reorder the terms:
12 + 6x = 5(-4 + 2x) + -4c
12 + 6x = (-4 * 5 + 2x * 5) + -4c
12 + 6x = (-20 + 10x) + -4c

Reorder the terms:
12 + 6x = -20 + -4c + 10x

Solving
12 + 6x = -20 + -4c + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 6x + -10x = -20 + -4c + 10x + -10x

Combine like terms: 6x + -10x = -4x
12 + -4x = -20 + -4c + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -4x = -20 + -4c + 0
12 + -4x = -20 + -4c

Add '-12' to each side of the equation.
12 + -12 + -4x = -20 + -12 + -4c

Combine like terms: 12 + -12 = 0
0 + -4x = -20 + -12 + -4c
-4x = -20 + -12 + -4c

Combine like terms: -20 + -12 = -32
-4x = -32 + -4c

Divide each side by '-4'.
x = 8 + c

Simplifying
x = 8 + c

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