-[4x-(2x+2)]=-9[4(2x-4)-4x]

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Solution for -[4x-(2x+2)]=-9[4(2x-4)-4x] equation:


Simplifying
-1[4x + -1(2x + 2)] = -9[4(2x + -4) + -4x]

Reorder the terms:
-1[4x + -1(2 + 2x)] = -9[4(2x + -4) + -4x]
-1[4x + (2 * -1 + 2x * -1)] = -9[4(2x + -4) + -4x]
-1[4x + (-2 + -2x)] = -9[4(2x + -4) + -4x]

Reorder the terms:
-1[-2 + 4x + -2x] = -9[4(2x + -4) + -4x]

Combine like terms: 4x + -2x = 2x
-1[-2 + 2x] = -9[4(2x + -4) + -4x]
[-2 * -1 + 2x * -1] = -9[4(2x + -4) + -4x]
[2 + -2x] = -9[4(2x + -4) + -4x]

Reorder the terms:
2 + -2x = -9[4(-4 + 2x) + -4x]
2 + -2x = -9[(-4 * 4 + 2x * 4) + -4x]
2 + -2x = -9[(-16 + 8x) + -4x]

Combine like terms: 8x + -4x = 4x
2 + -2x = -9[-16 + 4x]
2 + -2x = [-16 * -9 + 4x * -9]
2 + -2x = [144 + -36x]

Solving
2 + -2x = 144 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
2 + -2x + 36x = 144 + -36x + 36x

Combine like terms: -2x + 36x = 34x
2 + 34x = 144 + -36x + 36x

Combine like terms: -36x + 36x = 0
2 + 34x = 144 + 0
2 + 34x = 144

Add '-2' to each side of the equation.
2 + -2 + 34x = 144 + -2

Combine like terms: 2 + -2 = 0
0 + 34x = 144 + -2
34x = 144 + -2

Combine like terms: 144 + -2 = 142
34x = 142

Divide each side by '34'.
x = 4.176470588

Simplifying
x = 4.176470588

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