(x+5)(x+5)(x+5)-5=x(x+8)(x+7)-7

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Solution for (x+5)(x+5)(x+5)-5=x(x+8)(x+7)-7 equation: 


Simplifying
(x + 5)(x + 5)(x + 5) + -5 = x(x + 8)(x + 7) + -7

Reorder the terms:
(5 + x)(x + 5)(x + 5) + -5 = x(x + 8)(x + 7) + -7

Reorder the terms:
(5 + x)(5 + x)(x + 5) + -5 = x(x + 8)(x + 7) + -7

Reorder the terms:
(5 + x)(5 + x)(5 + x) + -5 = x(x + 8)(x + 7) + -7

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x))(5 + x) + -5 = x(x + 8)(x + 7) + -7
((5 * 5 + x * 5) + x(5 + x))(5 + x) + -5 = x(x + 8)(x + 7) + -7
((25 + 5x) + x(5 + x))(5 + x) + -5 = x(x + 8)(x + 7) + -7
(25 + 5x + (5 * x + x * x))(5 + x) + -5 = x(x + 8)(x + 7) + -7
(25 + 5x + (5x + x2))(5 + x) + -5 = x(x + 8)(x + 7) + -7

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2)(5 + x) + -5 = x(x + 8)(x + 7) + -7

Multiply (25 + 10x + x2) * (5 + x)
(25(5 + x) + 10x * (5 + x) + x2(5 + x)) + -5 = x(x + 8)(x + 7) + -7
((5 * 25 + x * 25) + 10x * (5 + x) + x2(5 + x)) + -5 = x(x + 8)(x + 7) + -7
((125 + 25x) + 10x * (5 + x) + x2(5 + x)) + -5 = x(x + 8)(x + 7) + -7
(125 + 25x + (5 * 10x + x * 10x) + x2(5 + x)) + -5 = x(x + 8)(x + 7) + -7
(125 + 25x + (50x + 10x2) + x2(5 + x)) + -5 = x(x + 8)(x + 7) + -7
(125 + 25x + 50x + 10x2 + (5 * x2 + x * x2)) + -5 = x(x + 8)(x + 7) + -7
(125 + 25x + 50x + 10x2 + (5x2 + x3)) + -5 = x(x + 8)(x + 7) + -7

Combine like terms: 25x + 50x = 75x
(125 + 75x + 10x2 + 5x2 + x3) + -5 = x(x + 8)(x + 7) + -7

Combine like terms: 10x2 + 5x2 = 15x2
(125 + 75x + 15x2 + x3) + -5 = x(x + 8)(x + 7) + -7

Reorder the terms:
125 + -5 + 75x + 15x2 + x3 = x(x + 8)(x + 7) + -7

Combine like terms: 125 + -5 = 120
120 + 75x + 15x2 + x3 = x(x + 8)(x + 7) + -7

Reorder the terms:
120 + 75x + 15x2 + x3 = x(8 + x)(x + 7) + -7

Reorder the terms:
120 + 75x + 15x2 + x3 = x(8 + x)(7 + x) + -7

Multiply (8 + x) * (7 + x)
120 + 75x + 15x2 + x3 = x(8(7 + x) + x(7 + x)) + -7
120 + 75x + 15x2 + x3 = x((7 * 8 + x * 8) + x(7 + x)) + -7
120 + 75x + 15x2 + x3 = x((56 + 8x) + x(7 + x)) + -7
120 + 75x + 15x2 + x3 = x(56 + 8x + (7 * x + x * x)) + -7
120 + 75x + 15x2 + x3 = x(56 + 8x + (7x + x2)) + -7

Combine like terms: 8x + 7x = 15x
120 + 75x + 15x2 + x3 = x(56 + 15x + x2) + -7
120 + 75x + 15x2 + x3 = (56 * x + 15x * x + x2 * x) + -7
120 + 75x + 15x2 + x3 = (56x + 15x2 + x3) + -7

Reorder the terms:
120 + 75x + 15x2 + x3 = -7 + 56x + 15x2 + x3

Add '-15x2' to each side of the equation.
120 + 75x + 15x2 + -15x2 + x3 = -7 + 56x + 15x2 + -15x2 + x3

Combine like terms: 15x2 + -15x2 = 0
120 + 75x + 0 + x3 = -7 + 56x + 15x2 + -15x2 + x3
120 + 75x + x3 = -7 + 56x + 15x2 + -15x2 + x3

Combine like terms: 15x2 + -15x2 = 0
120 + 75x + x3 = -7 + 56x + 0 + x3
120 + 75x + x3 = -7 + 56x + x3

Add '-1x3' to each side of the equation.
120 + 75x + x3 + -1x3 = -7 + 56x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
120 + 75x + 0 = -7 + 56x + x3 + -1x3
120 + 75x = -7 + 56x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
120 + 75x = -7 + 56x + 0
120 + 75x = -7 + 56x

Solving
120 + 75x = -7 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
120 + 75x + -56x = -7 + 56x + -56x

Combine like terms: 75x + -56x = 19x
120 + 19x = -7 + 56x + -56x

Combine like terms: 56x + -56x = 0
120 + 19x = -7 + 0
120 + 19x = -7

Add '-120' to each side of the equation.
120 + -120 + 19x = -7 + -120

Combine like terms: 120 + -120 = 0
0 + 19x = -7 + -120
19x = -7 + -120

Combine like terms: -7 + -120 = -127
19x = -127

Divide each side by '19'.
x = -6.684210526

Simplifying
x = -6.684210526

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