(2x^2+9x-6)-(7x^2-10x+1)+(-3x-7)=-5x^2+16x-14

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Solution for (2x^2+9x-6)-(7x^2-10x+1)+(-3x-7)=-5x^2+16x-14 equation: 


Simplifying
(2x2 + 9x + -6) + -1(7x2 + -10x + 1) + (-3x + -7) = -5x2 + 16x + -14

Reorder the terms:
(-6 + 9x + 2x2) + -1(7x2 + -10x + 1) + (-3x + -7) = -5x2 + 16x + -14

Remove parenthesis around (-6 + 9x + 2x2)
-6 + 9x + 2x2 + -1(7x2 + -10x + 1) + (-3x + -7) = -5x2 + 16x + -14

Reorder the terms:
-6 + 9x + 2x2 + -1(1 + -10x + 7x2) + (-3x + -7) = -5x2 + 16x + -14
-6 + 9x + 2x2 + (1 * -1 + -10x * -1 + 7x2 * -1) + (-3x + -7) = -5x2 + 16x + -14
-6 + 9x + 2x2 + (-1 + 10x + -7x2) + (-3x + -7) = -5x2 + 16x + -14

Reorder the terms:
-6 + 9x + 2x2 + -1 + 10x + -7x2 + (-7 + -3x) = -5x2 + 16x + -14

Remove parenthesis around (-7 + -3x)
-6 + 9x + 2x2 + -1 + 10x + -7x2 + -7 + -3x = -5x2 + 16x + -14

Reorder the terms:
-6 + -1 + -7 + 9x + 10x + -3x + 2x2 + -7x2 = -5x2 + 16x + -14

Combine like terms: -6 + -1 = -7
-7 + -7 + 9x + 10x + -3x + 2x2 + -7x2 = -5x2 + 16x + -14

Combine like terms: -7 + -7 = -14
-14 + 9x + 10x + -3x + 2x2 + -7x2 = -5x2 + 16x + -14

Combine like terms: 9x + 10x = 19x
-14 + 19x + -3x + 2x2 + -7x2 = -5x2 + 16x + -14

Combine like terms: 19x + -3x = 16x
-14 + 16x + 2x2 + -7x2 = -5x2 + 16x + -14

Combine like terms: 2x2 + -7x2 = -5x2
-14 + 16x + -5x2 = -5x2 + 16x + -14

Reorder the terms:
-14 + 16x + -5x2 = -14 + 16x + -5x2

Add '14' to each side of the equation.
-14 + 16x + 14 + -5x2 = -14 + 16x + 14 + -5x2

Reorder the terms:
-14 + 14 + 16x + -5x2 = -14 + 16x + 14 + -5x2

Combine like terms: -14 + 14 = 0
0 + 16x + -5x2 = -14 + 16x + 14 + -5x2
16x + -5x2 = -14 + 16x + 14 + -5x2

Reorder the terms:
16x + -5x2 = -14 + 14 + 16x + -5x2

Combine like terms: -14 + 14 = 0
16x + -5x2 = 0 + 16x + -5x2
16x + -5x2 = 16x + -5x2

Add '-16x' to each side of the equation.
16x + -16x + -5x2 = 16x + -16x + -5x2

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

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

Add '5x2' to each side of the equation.
-5x2 + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
0 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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