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

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


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

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

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

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

Reorder the terms:
5 + -3x = -4 + -1[4(-4 + 2x) + -3x]
5 + -3x = -4 + -1[(-4 * 4 + 2x * 4) + -3x]
5 + -3x = -4 + -1[(-16 + 8x) + -3x]

Combine like terms: 8x + -3x = 5x
5 + -3x = -4 + -1[-16 + 5x]
5 + -3x = -4 + [-16 * -1 + 5x * -1]
5 + -3x = -4 + [16 + -5x]

Combine like terms: -4 + 16 = 12
5 + -3x = 12 + -5x

Solving
5 + -3x = 12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5 + -3x + 5x = 12 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
5 + 2x = 12 + 0
5 + 2x = 12

Add '-5' to each side of the equation.
5 + -5 + 2x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 12 + -5
2x = 12 + -5

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

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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