(5x^2+10x-120)+(3x^2+27x+54)=8x^2-8x-96

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Solution for (5x^2+10x-120)+(3x^2+27x+54)=8x^2-8x-96 equation: 


Simplifying
(5x2 + 10x + -120) + (3x2 + 27x + 54) = 8x2 + -8x + -96

Reorder the terms:
(-120 + 10x + 5x2) + (3x2 + 27x + 54) = 8x2 + -8x + -96

Remove parenthesis around (-120 + 10x + 5x2)
-120 + 10x + 5x2 + (3x2 + 27x + 54) = 8x2 + -8x + -96

Reorder the terms:
-120 + 10x + 5x2 + (54 + 27x + 3x2) = 8x2 + -8x + -96

Remove parenthesis around (54 + 27x + 3x2)
-120 + 10x + 5x2 + 54 + 27x + 3x2 = 8x2 + -8x + -96

Reorder the terms:
-120 + 54 + 10x + 27x + 5x2 + 3x2 = 8x2 + -8x + -96

Combine like terms: -120 + 54 = -66
-66 + 10x + 27x + 5x2 + 3x2 = 8x2 + -8x + -96

Combine like terms: 10x + 27x = 37x
-66 + 37x + 5x2 + 3x2 = 8x2 + -8x + -96

Combine like terms: 5x2 + 3x2 = 8x2
-66 + 37x + 8x2 = 8x2 + -8x + -96

Reorder the terms:
-66 + 37x + 8x2 = -96 + -8x + 8x2

Add '-8x2' to each side of the equation.
-66 + 37x + 8x2 + -8x2 = -96 + -8x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-66 + 37x + 0 = -96 + -8x + 8x2 + -8x2
-66 + 37x = -96 + -8x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-66 + 37x = -96 + -8x + 0
-66 + 37x = -96 + -8x

Solving
-66 + 37x = -96 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-66 + 37x + 8x = -96 + -8x + 8x

Combine like terms: 37x + 8x = 45x
-66 + 45x = -96 + -8x + 8x

Combine like terms: -8x + 8x = 0
-66 + 45x = -96 + 0
-66 + 45x = -96

Add '66' to each side of the equation.
-66 + 66 + 45x = -96 + 66

Combine like terms: -66 + 66 = 0
0 + 45x = -96 + 66
45x = -96 + 66

Combine like terms: -96 + 66 = -30
45x = -30

Divide each side by '45'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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