(3x^2+2x-3)+(5x^2+4x+13)-(8x^2-18)=

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Solution for (3x^2+2x-3)+(5x^2+4x+13)-(8x^2-18)= equation:


Simplifying
(3x2 + 2x + -3) + (5x2 + 4x + 13) + -1(8x2 + -18) = 0

Reorder the terms:
(-3 + 2x + 3x2) + (5x2 + 4x + 13) + -1(8x2 + -18) = 0

Remove parenthesis around (-3 + 2x + 3x2)
-3 + 2x + 3x2 + (5x2 + 4x + 13) + -1(8x2 + -18) = 0

Reorder the terms:
-3 + 2x + 3x2 + (13 + 4x + 5x2) + -1(8x2 + -18) = 0

Remove parenthesis around (13 + 4x + 5x2)
-3 + 2x + 3x2 + 13 + 4x + 5x2 + -1(8x2 + -18) = 0

Reorder the terms:
-3 + 2x + 3x2 + 13 + 4x + 5x2 + -1(-18 + 8x2) = 0
-3 + 2x + 3x2 + 13 + 4x + 5x2 + (-18 * -1 + 8x2 * -1) = 0
-3 + 2x + 3x2 + 13 + 4x + 5x2 + (18 + -8x2) = 0

Reorder the terms:
-3 + 13 + 18 + 2x + 4x + 3x2 + 5x2 + -8x2 = 0

Combine like terms: -3 + 13 = 10
10 + 18 + 2x + 4x + 3x2 + 5x2 + -8x2 = 0

Combine like terms: 10 + 18 = 28
28 + 2x + 4x + 3x2 + 5x2 + -8x2 = 0

Combine like terms: 2x + 4x = 6x
28 + 6x + 3x2 + 5x2 + -8x2 = 0

Combine like terms: 3x2 + 5x2 = 8x2
28 + 6x + 8x2 + -8x2 = 0

Combine like terms: 8x2 + -8x2 = 0
28 + 6x + 0 = 0
28 + 6x = 0

Solving
28 + 6x = 0

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 6x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = 0 + -28
6x = 0 + -28

Combine like terms: 0 + -28 = -28
6x = -28

Divide each side by '6'.
x = -4.666666667

Simplifying
x = -4.666666667

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