-[10x-(2x+2)]=-5-[4(3x-3)-2x]

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Solution for -[10x-(2x+2)]=-5-[4(3x-3)-2x] equation: 


Simplifying
-1[10x + -1(2x + 2)] = -5 + -1[4(3x + -3) + -2x]

Reorder the terms:
-1[10x + -1(2 + 2x)] = -5 + -1[4(3x + -3) + -2x]
-1[10x + (2 * -1 + 2x * -1)] = -5 + -1[4(3x + -3) + -2x]
-1[10x + (-2 + -2x)] = -5 + -1[4(3x + -3) + -2x]

Reorder the terms:
-1[-2 + 10x + -2x] = -5 + -1[4(3x + -3) + -2x]

Combine like terms: 10x + -2x = 8x
-1[-2 + 8x] = -5 + -1[4(3x + -3) + -2x]
[-2 * -1 + 8x * -1] = -5 + -1[4(3x + -3) + -2x]
[2 + -8x] = -5 + -1[4(3x + -3) + -2x]

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

Combine like terms: 12x + -2x = 10x
2 + -8x = -5 + -1[-12 + 10x]
2 + -8x = -5 + [-12 * -1 + 10x * -1]
2 + -8x = -5 + [12 + -10x]

Combine like terms: -5 + 12 = 7
2 + -8x = 7 + -10x

Solving
2 + -8x = 7 + -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.
2 + -8x + 10x = 7 + -10x + 10x

Combine like terms: -8x + 10x = 2x
2 + 2x = 7 + -10x + 10x

Combine like terms: -10x + 10x = 0
2 + 2x = 7 + 0
2 + 2x = 7

Add '-2' to each side of the equation.
2 + -2 + 2x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 7 + -2
2x = 7 + -2

Combine like terms: 7 + -2 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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