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

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


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

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

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

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

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

Combine like terms: 8x + -2x = 6x
4 + -4x = -3 + -1[-12 + 6x]
4 + -4x = -3 + [-12 * -1 + 6x * -1]
4 + -4x = -3 + [12 + -6x]

Combine like terms: -3 + 12 = 9
4 + -4x = 9 + -6x

Solving
4 + -4x = 9 + -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.
4 + -4x + 6x = 9 + -6x + 6x

Combine like terms: -4x + 6x = 2x
4 + 2x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
4 + 2x = 9 + 0
4 + 2x = 9

Add '-4' to each side of the equation.
4 + -4 + 2x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 9 + -4
2x = 9 + -4

Combine like terms: 9 + -4 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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