(5x+4)(3x+2)=(7x-1)(3x-5)+60x-51

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Solution for (5x+4)(3x+2)=(7x-1)(3x-5)+60x-51 equation: 


Simplifying
(5x + 4)(3x + 2) = (7x + -1)(3x + -5) + 60x + -51

Reorder the terms:
(4 + 5x)(3x + 2) = (7x + -1)(3x + -5) + 60x + -51

Reorder the terms:
(4 + 5x)(2 + 3x) = (7x + -1)(3x + -5) + 60x + -51

Multiply (4 + 5x) * (2 + 3x)
(4(2 + 3x) + 5x * (2 + 3x)) = (7x + -1)(3x + -5) + 60x + -51
((2 * 4 + 3x * 4) + 5x * (2 + 3x)) = (7x + -1)(3x + -5) + 60x + -51
((8 + 12x) + 5x * (2 + 3x)) = (7x + -1)(3x + -5) + 60x + -51
(8 + 12x + (2 * 5x + 3x * 5x)) = (7x + -1)(3x + -5) + 60x + -51
(8 + 12x + (10x + 15x2)) = (7x + -1)(3x + -5) + 60x + -51

Combine like terms: 12x + 10x = 22x
(8 + 22x + 15x2) = (7x + -1)(3x + -5) + 60x + -51

Reorder the terms:
8 + 22x + 15x2 = (-1 + 7x)(3x + -5) + 60x + -51

Reorder the terms:
8 + 22x + 15x2 = (-1 + 7x)(-5 + 3x) + 60x + -51

Multiply (-1 + 7x) * (-5 + 3x)
8 + 22x + 15x2 = (-1(-5 + 3x) + 7x * (-5 + 3x)) + 60x + -51
8 + 22x + 15x2 = ((-5 * -1 + 3x * -1) + 7x * (-5 + 3x)) + 60x + -51
8 + 22x + 15x2 = ((5 + -3x) + 7x * (-5 + 3x)) + 60x + -51
8 + 22x + 15x2 = (5 + -3x + (-5 * 7x + 3x * 7x)) + 60x + -51
8 + 22x + 15x2 = (5 + -3x + (-35x + 21x2)) + 60x + -51

Combine like terms: -3x + -35x = -38x
8 + 22x + 15x2 = (5 + -38x + 21x2) + 60x + -51

Reorder the terms:
8 + 22x + 15x2 = 5 + -51 + -38x + 60x + 21x2

Combine like terms: 5 + -51 = -46
8 + 22x + 15x2 = -46 + -38x + 60x + 21x2

Combine like terms: -38x + 60x = 22x
8 + 22x + 15x2 = -46 + 22x + 21x2

Add '-22x' to each side of the equation.
8 + 22x + -22x + 15x2 = -46 + 22x + -22x + 21x2

Combine like terms: 22x + -22x = 0
8 + 0 + 15x2 = -46 + 22x + -22x + 21x2
8 + 15x2 = -46 + 22x + -22x + 21x2

Combine like terms: 22x + -22x = 0
8 + 15x2 = -46 + 0 + 21x2
8 + 15x2 = -46 + 21x2

Solving
8 + 15x2 = -46 + 21x2

Solving for variable 'x'.

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

Add '-21x2' to each side of the equation.
8 + 15x2 + -21x2 = -46 + 21x2 + -21x2

Combine like terms: 15x2 + -21x2 = -6x2
8 + -6x2 = -46 + 21x2 + -21x2

Combine like terms: 21x2 + -21x2 = 0
8 + -6x2 = -46 + 0
8 + -6x2 = -46

Add '-8' to each side of the equation.
8 + -8 + -6x2 = -46 + -8

Combine like terms: 8 + -8 = 0
0 + -6x2 = -46 + -8
-6x2 = -46 + -8

Combine like terms: -46 + -8 = -54
-6x2 = -54

Divide each side by '-6'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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