2x-[(3x+5)(4x-1)+2]=5x+(12x+5)(-x+2)-46

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Solution for 2x-[(3x+5)(4x-1)+2]=5x+(12x+5)(-x+2)-46 equation: 


Simplifying
2x + -1[(3x + 5)(4x + -1) + 2] = 5x + (12x + 5)(-1x + 2) + -46

Reorder the terms:
2x + -1[(5 + 3x)(4x + -1) + 2] = 5x + (12x + 5)(-1x + 2) + -46

Reorder the terms:
2x + -1[(5 + 3x)(-1 + 4x) + 2] = 5x + (12x + 5)(-1x + 2) + -46

Multiply (5 + 3x) * (-1 + 4x)
2x + -1[(5(-1 + 4x) + 3x * (-1 + 4x)) + 2] = 5x + (12x + 5)(-1x + 2) + -46
2x + -1[((-1 * 5 + 4x * 5) + 3x * (-1 + 4x)) + 2] = 5x + (12x + 5)(-1x + 2) + -46
2x + -1[((-5 + 20x) + 3x * (-1 + 4x)) + 2] = 5x + (12x + 5)(-1x + 2) + -46
2x + -1[(-5 + 20x + (-1 * 3x + 4x * 3x)) + 2] = 5x + (12x + 5)(-1x + 2) + -46
2x + -1[(-5 + 20x + (-3x + 12x2)) + 2] = 5x + (12x + 5)(-1x + 2) + -46

Combine like terms: 20x + -3x = 17x
2x + -1[(-5 + 17x + 12x2) + 2] = 5x + (12x + 5)(-1x + 2) + -46

Reorder the terms:
2x + -1[-5 + 2 + 17x + 12x2] = 5x + (12x + 5)(-1x + 2) + -46

Combine like terms: -5 + 2 = -3
2x + -1[-3 + 17x + 12x2] = 5x + (12x + 5)(-1x + 2) + -46
2x + [-3 * -1 + 17x * -1 + 12x2 * -1] = 5x + (12x + 5)(-1x + 2) + -46
2x + [3 + -17x + -12x2] = 5x + (12x + 5)(-1x + 2) + -46

Reorder the terms:
3 + 2x + -17x + -12x2 = 5x + (12x + 5)(-1x + 2) + -46

Combine like terms: 2x + -17x = -15x
3 + -15x + -12x2 = 5x + (12x + 5)(-1x + 2) + -46

Reorder the terms:
3 + -15x + -12x2 = 5x + (5 + 12x)(-1x + 2) + -46

Reorder the terms:
3 + -15x + -12x2 = 5x + (5 + 12x)(2 + -1x) + -46

Multiply (5 + 12x) * (2 + -1x)
3 + -15x + -12x2 = 5x + (5(2 + -1x) + 12x * (2 + -1x)) + -46
3 + -15x + -12x2 = 5x + ((2 * 5 + -1x * 5) + 12x * (2 + -1x)) + -46
3 + -15x + -12x2 = 5x + ((10 + -5x) + 12x * (2 + -1x)) + -46
3 + -15x + -12x2 = 5x + (10 + -5x + (2 * 12x + -1x * 12x)) + -46
3 + -15x + -12x2 = 5x + (10 + -5x + (24x + -12x2)) + -46

Combine like terms: -5x + 24x = 19x
3 + -15x + -12x2 = 5x + (10 + 19x + -12x2) + -46

Reorder the terms:
3 + -15x + -12x2 = 10 + -46 + 5x + 19x + -12x2

Combine like terms: 10 + -46 = -36
3 + -15x + -12x2 = -36 + 5x + 19x + -12x2

Combine like terms: 5x + 19x = 24x
3 + -15x + -12x2 = -36 + 24x + -12x2

Add '12x2' to each side of the equation.
3 + -15x + -12x2 + 12x2 = -36 + 24x + -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
3 + -15x + 0 = -36 + 24x + -12x2 + 12x2
3 + -15x = -36 + 24x + -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
3 + -15x = -36 + 24x + 0
3 + -15x = -36 + 24x

Solving
3 + -15x = -36 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
3 + -15x + -24x = -36 + 24x + -24x

Combine like terms: -15x + -24x = -39x
3 + -39x = -36 + 24x + -24x

Combine like terms: 24x + -24x = 0
3 + -39x = -36 + 0
3 + -39x = -36

Add '-3' to each side of the equation.
3 + -3 + -39x = -36 + -3

Combine like terms: 3 + -3 = 0
0 + -39x = -36 + -3
-39x = -36 + -3

Combine like terms: -36 + -3 = -39
-39x = -39

Divide each side by '-39'.
x = 1

Simplifying
x = 1

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