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

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


Simplifying
5 + -2(3x + 6) = -2(4 + -1(3x + 2))

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

Combine like terms: 5 + -12 = -7
-7 + -6x = -2(4 + -1(3x + 2))

Reorder the terms:
-7 + -6x = -2(4 + -1(2 + 3x))
-7 + -6x = -2(4 + (2 * -1 + 3x * -1))
-7 + -6x = -2(4 + (-2 + -3x))

Combine like terms: 4 + -2 = 2
-7 + -6x = -2(2 + -3x)
-7 + -6x = (2 * -2 + -3x * -2)
-7 + -6x = (-4 + 6x)

Solving
-7 + -6x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + -6x + -6x = -4 + 6x + -6x

Combine like terms: -6x + -6x = -12x
-7 + -12x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -12x = -4 + 0
-7 + -12x = -4

Add '7' to each side of the equation.
-7 + 7 + -12x = -4 + 7

Combine like terms: -7 + 7 = 0
0 + -12x = -4 + 7
-12x = -4 + 7

Combine like terms: -4 + 7 = 3
-12x = 3

Divide each side by '-12'.
x = -0.25

Simplifying
x = -0.25

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