-[3x-(2x+2)]=-7-[3(2x-4)-3x]

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Solution for -[3x-(2x+2)]=-7-[3(2x-4)-3x] equation:


Simplifying
-1[3x + -1(2x + 2)] = -7 + -1[3(2x + -4) + -3x]

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

Reorder the terms:
-1[-2 + 3x + -2x] = -7 + -1[3(2x + -4) + -3x]

Combine like terms: 3x + -2x = 1x
-1[-2 + 1x] = -7 + -1[3(2x + -4) + -3x]
[-2 * -1 + 1x * -1] = -7 + -1[3(2x + -4) + -3x]
[2 + -1x] = -7 + -1[3(2x + -4) + -3x]

Reorder the terms:
2 + -1x = -7 + -1[3(-4 + 2x) + -3x]
2 + -1x = -7 + -1[(-4 * 3 + 2x * 3) + -3x]
2 + -1x = -7 + -1[(-12 + 6x) + -3x]

Combine like terms: 6x + -3x = 3x
2 + -1x = -7 + -1[-12 + 3x]
2 + -1x = -7 + [-12 * -1 + 3x * -1]
2 + -1x = -7 + [12 + -3x]

Combine like terms: -7 + 12 = 5
2 + -1x = 5 + -3x

Solving
2 + -1x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + -1x + 3x = 5 + -3x + 3x

Combine like terms: -1x + 3x = 2x
2 + 2x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 2x = 5 + 0
2 + 2x = 5

Add '-2' to each side of the equation.
2 + -2 + 2x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 5 + -2
2x = 5 + -2

Combine like terms: 5 + -2 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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