(2x^2+8x-8)+(3x^2+7x+13)-(5x^2-11)=

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Solution for (2x^2+8x-8)+(3x^2+7x+13)-(5x^2-11)= equation:


Simplifying
(2x2 + 8x + -8) + (3x2 + 7x + 13) + -1(5x2 + -11) = 0

Reorder the terms:
(-8 + 8x + 2x2) + (3x2 + 7x + 13) + -1(5x2 + -11) = 0

Remove parenthesis around (-8 + 8x + 2x2)
-8 + 8x + 2x2 + (3x2 + 7x + 13) + -1(5x2 + -11) = 0

Reorder the terms:
-8 + 8x + 2x2 + (13 + 7x + 3x2) + -1(5x2 + -11) = 0

Remove parenthesis around (13 + 7x + 3x2)
-8 + 8x + 2x2 + 13 + 7x + 3x2 + -1(5x2 + -11) = 0

Reorder the terms:
-8 + 8x + 2x2 + 13 + 7x + 3x2 + -1(-11 + 5x2) = 0
-8 + 8x + 2x2 + 13 + 7x + 3x2 + (-11 * -1 + 5x2 * -1) = 0
-8 + 8x + 2x2 + 13 + 7x + 3x2 + (11 + -5x2) = 0

Reorder the terms:
-8 + 13 + 11 + 8x + 7x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: -8 + 13 = 5
5 + 11 + 8x + 7x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 5 + 11 = 16
16 + 8x + 7x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 8x + 7x = 15x
16 + 15x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 2x2 + 3x2 = 5x2
16 + 15x + 5x2 + -5x2 = 0

Combine like terms: 5x2 + -5x2 = 0
16 + 15x + 0 = 0
16 + 15x = 0

Solving
16 + 15x = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 15x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 15x = 0 + -16
15x = 0 + -16

Combine like terms: 0 + -16 = -16
15x = -16

Divide each side by '15'.
x = -1.066666667

Simplifying
x = -1.066666667

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