(5x^2+3x-4)-(3x^2+7x-9)+(4x^2-5x+7)-(6x^2+x-3)=7

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Solution for (5x^2+3x-4)-(3x^2+7x-9)+(4x^2-5x+7)-(6x^2+x-3)=7 equation: 


Simplifying
(5x2 + 3x + -4) + -1(3x2 + 7x + -9) + (4x2 + -5x + 7) + -1(6x2 + x + -3) = 7

Reorder the terms:
(-4 + 3x + 5x2) + -1(3x2 + 7x + -9) + (4x2 + -5x + 7) + -1(6x2 + x + -3) = 7

Remove parenthesis around (-4 + 3x + 5x2)
-4 + 3x + 5x2 + -1(3x2 + 7x + -9) + (4x2 + -5x + 7) + -1(6x2 + x + -3) = 7

Reorder the terms:
-4 + 3x + 5x2 + -1(-9 + 7x + 3x2) + (4x2 + -5x + 7) + -1(6x2 + x + -3) = 7
-4 + 3x + 5x2 + (-9 * -1 + 7x * -1 + 3x2 * -1) + (4x2 + -5x + 7) + -1(6x2 + x + -3) = 7
-4 + 3x + 5x2 + (9 + -7x + -3x2) + (4x2 + -5x + 7) + -1(6x2 + x + -3) = 7

Reorder the terms:
-4 + 3x + 5x2 + 9 + -7x + -3x2 + (7 + -5x + 4x2) + -1(6x2 + x + -3) = 7

Remove parenthesis around (7 + -5x + 4x2)
-4 + 3x + 5x2 + 9 + -7x + -3x2 + 7 + -5x + 4x2 + -1(6x2 + x + -3) = 7

Reorder the terms:
-4 + 3x + 5x2 + 9 + -7x + -3x2 + 7 + -5x + 4x2 + -1(-3 + x + 6x2) = 7
-4 + 3x + 5x2 + 9 + -7x + -3x2 + 7 + -5x + 4x2 + (-3 * -1 + x * -1 + 6x2 * -1) = 7
-4 + 3x + 5x2 + 9 + -7x + -3x2 + 7 + -5x + 4x2 + (3 + -1x + -6x2) = 7

Reorder the terms:
-4 + 9 + 7 + 3 + 3x + -7x + -5x + -1x + 5x2 + -3x2 + 4x2 + -6x2 = 7

Combine like terms: -4 + 9 = 5
5 + 7 + 3 + 3x + -7x + -5x + -1x + 5x2 + -3x2 + 4x2 + -6x2 = 7

Combine like terms: 5 + 7 = 12
12 + 3 + 3x + -7x + -5x + -1x + 5x2 + -3x2 + 4x2 + -6x2 = 7

Combine like terms: 12 + 3 = 15
15 + 3x + -7x + -5x + -1x + 5x2 + -3x2 + 4x2 + -6x2 = 7

Combine like terms: 3x + -7x = -4x
15 + -4x + -5x + -1x + 5x2 + -3x2 + 4x2 + -6x2 = 7

Combine like terms: -4x + -5x = -9x
15 + -9x + -1x + 5x2 + -3x2 + 4x2 + -6x2 = 7

Combine like terms: -9x + -1x = -10x
15 + -10x + 5x2 + -3x2 + 4x2 + -6x2 = 7

Combine like terms: 5x2 + -3x2 = 2x2
15 + -10x + 2x2 + 4x2 + -6x2 = 7

Combine like terms: 2x2 + 4x2 = 6x2
15 + -10x + 6x2 + -6x2 = 7

Combine like terms: 6x2 + -6x2 = 0
15 + -10x + 0 = 7
15 + -10x = 7

Solving
15 + -10x = 7

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -10x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -10x = 7 + -15
-10x = 7 + -15

Combine like terms: 7 + -15 = -8
-10x = -8

Divide each side by '-10'.
x = 0.8

Simplifying
x = 0.8

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