(3x^2+8x-6)+(2x^2+2x+13)-(5x^2-18)=

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Solution for (3x^2+8x-6)+(2x^2+2x+13)-(5x^2-18)= equation:


Simplifying
(3x2 + 8x + -6) + (2x2 + 2x + 13) + -1(5x2 + -18) = 0

Reorder the terms:
(-6 + 8x + 3x2) + (2x2 + 2x + 13) + -1(5x2 + -18) = 0

Remove parenthesis around (-6 + 8x + 3x2)
-6 + 8x + 3x2 + (2x2 + 2x + 13) + -1(5x2 + -18) = 0

Reorder the terms:
-6 + 8x + 3x2 + (13 + 2x + 2x2) + -1(5x2 + -18) = 0

Remove parenthesis around (13 + 2x + 2x2)
-6 + 8x + 3x2 + 13 + 2x + 2x2 + -1(5x2 + -18) = 0

Reorder the terms:
-6 + 8x + 3x2 + 13 + 2x + 2x2 + -1(-18 + 5x2) = 0
-6 + 8x + 3x2 + 13 + 2x + 2x2 + (-18 * -1 + 5x2 * -1) = 0
-6 + 8x + 3x2 + 13 + 2x + 2x2 + (18 + -5x2) = 0

Reorder the terms:
-6 + 13 + 18 + 8x + 2x + 3x2 + 2x2 + -5x2 = 0

Combine like terms: -6 + 13 = 7
7 + 18 + 8x + 2x + 3x2 + 2x2 + -5x2 = 0

Combine like terms: 7 + 18 = 25
25 + 8x + 2x + 3x2 + 2x2 + -5x2 = 0

Combine like terms: 8x + 2x = 10x
25 + 10x + 3x2 + 2x2 + -5x2 = 0

Combine like terms: 3x2 + 2x2 = 5x2
25 + 10x + 5x2 + -5x2 = 0

Combine like terms: 5x2 + -5x2 = 0
25 + 10x + 0 = 0
25 + 10x = 0

Solving
25 + 10x = 0

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 10x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 10x = 0 + -25
10x = 0 + -25

Combine like terms: 0 + -25 = -25
10x = -25

Divide each side by '10'.
x = -2.5

Simplifying
x = -2.5

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