46-[3+6x-4(x+4)]=-5(5x-4)-[7(x-1)-25x+8]

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Solution for 46-[3+6x-4(x+4)]=-5(5x-4)-[7(x-1)-25x+8] equation:


Simplifying
46 + -1[3 + 6x + -4(x + 4)] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]

Reorder the terms:
46 + -1[3 + 6x + -4(4 + x)] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]
46 + -1[3 + 6x + (4 * -4 + x * -4)] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]
46 + -1[3 + 6x + (-16 + -4x)] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]

Reorder the terms:
46 + -1[3 + -16 + 6x + -4x] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]

Combine like terms: 3 + -16 = -13
46 + -1[-13 + 6x + -4x] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]

Combine like terms: 6x + -4x = 2x
46 + -1[-13 + 2x] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]
46 + [-13 * -1 + 2x * -1] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]
46 + [13 + -2x] = -5(5x + -4) + -1[7(x + -1) + -25x + 8]

Combine like terms: 46 + 13 = 59
59 + -2x = -5(5x + -4) + -1[7(x + -1) + -25x + 8]

Reorder the terms:
59 + -2x = -5(-4 + 5x) + -1[7(x + -1) + -25x + 8]
59 + -2x = (-4 * -5 + 5x * -5) + -1[7(x + -1) + -25x + 8]
59 + -2x = (20 + -25x) + -1[7(x + -1) + -25x + 8]

Reorder the terms:
59 + -2x = 20 + -25x + -1[7(-1 + x) + -25x + 8]
59 + -2x = 20 + -25x + -1[(-1 * 7 + x * 7) + -25x + 8]
59 + -2x = 20 + -25x + -1[(-7 + 7x) + -25x + 8]

Reorder the terms:
59 + -2x = 20 + -25x + -1[-7 + 8 + 7x + -25x]

Combine like terms: -7 + 8 = 1
59 + -2x = 20 + -25x + -1[1 + 7x + -25x]

Combine like terms: 7x + -25x = -18x
59 + -2x = 20 + -25x + -1[1 + -18x]
59 + -2x = 20 + -25x + [1 * -1 + -18x * -1]
59 + -2x = 20 + -25x + [-1 + 18x]

Reorder the terms:
59 + -2x = 20 + -1 + -25x + 18x

Combine like terms: 20 + -1 = 19
59 + -2x = 19 + -25x + 18x

Combine like terms: -25x + 18x = -7x
59 + -2x = 19 + -7x

Solving
59 + -2x = 19 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
59 + -2x + 7x = 19 + -7x + 7x

Combine like terms: -2x + 7x = 5x
59 + 5x = 19 + -7x + 7x

Combine like terms: -7x + 7x = 0
59 + 5x = 19 + 0
59 + 5x = 19

Add '-59' to each side of the equation.
59 + -59 + 5x = 19 + -59

Combine like terms: 59 + -59 = 0
0 + 5x = 19 + -59
5x = 19 + -59

Combine like terms: 19 + -59 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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