(5x^2+5x-7)+(2x^2+9x+12)-(7x^2-15)=

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Solution for (5x^2+5x-7)+(2x^2+9x+12)-(7x^2-15)= equation: 


Simplifying
(5x2 + 5x + -7) + (2x2 + 9x + 12) + -1(7x2 + -15) = 0

Reorder the terms:
(-7 + 5x + 5x2) + (2x2 + 9x + 12) + -1(7x2 + -15) = 0

Remove parenthesis around (-7 + 5x + 5x2)
-7 + 5x + 5x2 + (2x2 + 9x + 12) + -1(7x2 + -15) = 0

Reorder the terms:
-7 + 5x + 5x2 + (12 + 9x + 2x2) + -1(7x2 + -15) = 0

Remove parenthesis around (12 + 9x + 2x2)
-7 + 5x + 5x2 + 12 + 9x + 2x2 + -1(7x2 + -15) = 0

Reorder the terms:
-7 + 5x + 5x2 + 12 + 9x + 2x2 + -1(-15 + 7x2) = 0
-7 + 5x + 5x2 + 12 + 9x + 2x2 + (-15 * -1 + 7x2 * -1) = 0
-7 + 5x + 5x2 + 12 + 9x + 2x2 + (15 + -7x2) = 0

Reorder the terms:
-7 + 12 + 15 + 5x + 9x + 5x2 + 2x2 + -7x2 = 0

Combine like terms: -7 + 12 = 5
5 + 15 + 5x + 9x + 5x2 + 2x2 + -7x2 = 0

Combine like terms: 5 + 15 = 20
20 + 5x + 9x + 5x2 + 2x2 + -7x2 = 0

Combine like terms: 5x + 9x = 14x
20 + 14x + 5x2 + 2x2 + -7x2 = 0

Combine like terms: 5x2 + 2x2 = 7x2
20 + 14x + 7x2 + -7x2 = 0

Combine like terms: 7x2 + -7x2 = 0
20 + 14x + 0 = 0
20 + 14x = 0

Solving
20 + 14x = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 14x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 14x = 0 + -20
14x = 0 + -20

Combine like terms: 0 + -20 = -20
14x = -20

Divide each side by '14'.
x = -1.428571429

Simplifying
x = -1.428571429

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