(6x^2-4x-5)-(3x^2-7x+2)=3x^2-11x-3

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Solution for (6x^2-4x-5)-(3x^2-7x+2)=3x^2-11x-3 equation: 


Simplifying
(6x2 + -4x + -5) + -1(3x2 + -7x + 2) = 3x2 + -11x + -3

Reorder the terms:
(-5 + -4x + 6x2) + -1(3x2 + -7x + 2) = 3x2 + -11x + -3

Remove parenthesis around (-5 + -4x + 6x2)
-5 + -4x + 6x2 + -1(3x2 + -7x + 2) = 3x2 + -11x + -3

Reorder the terms:
-5 + -4x + 6x2 + -1(2 + -7x + 3x2) = 3x2 + -11x + -3
-5 + -4x + 6x2 + (2 * -1 + -7x * -1 + 3x2 * -1) = 3x2 + -11x + -3
-5 + -4x + 6x2 + (-2 + 7x + -3x2) = 3x2 + -11x + -3

Reorder the terms:
-5 + -2 + -4x + 7x + 6x2 + -3x2 = 3x2 + -11x + -3

Combine like terms: -5 + -2 = -7
-7 + -4x + 7x + 6x2 + -3x2 = 3x2 + -11x + -3

Combine like terms: -4x + 7x = 3x
-7 + 3x + 6x2 + -3x2 = 3x2 + -11x + -3

Combine like terms: 6x2 + -3x2 = 3x2
-7 + 3x + 3x2 = 3x2 + -11x + -3

Reorder the terms:
-7 + 3x + 3x2 = -3 + -11x + 3x2

Add '-3x2' to each side of the equation.
-7 + 3x + 3x2 + -3x2 = -3 + -11x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-7 + 3x + 0 = -3 + -11x + 3x2 + -3x2
-7 + 3x = -3 + -11x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-7 + 3x = -3 + -11x + 0
-7 + 3x = -3 + -11x

Solving
-7 + 3x = -3 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-7 + 3x + 11x = -3 + -11x + 11x

Combine like terms: 3x + 11x = 14x
-7 + 14x = -3 + -11x + 11x

Combine like terms: -11x + 11x = 0
-7 + 14x = -3 + 0
-7 + 14x = -3

Add '7' to each side of the equation.
-7 + 7 + 14x = -3 + 7

Combine like terms: -7 + 7 = 0
0 + 14x = -3 + 7
14x = -3 + 7

Combine like terms: -3 + 7 = 4
14x = 4

Divide each side by '14'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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