2(3x-5)+4x(x-1)-2x=x^2+3(3x-7)+3x^2+2x-8-15

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Solution for 2(3x-5)+4x(x-1)-2x=x^2+3(3x-7)+3x^2+2x-8-15 equation: 


Simplifying
2(3x + -5) + 4x(x + -1) + -2x = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15

Reorder the terms:
2(-5 + 3x) + 4x(x + -1) + -2x = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15
(-5 * 2 + 3x * 2) + 4x(x + -1) + -2x = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15
(-10 + 6x) + 4x(x + -1) + -2x = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15

Reorder the terms:
-10 + 6x + 4x(-1 + x) + -2x = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15
-10 + 6x + (-1 * 4x + x * 4x) + -2x = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15
-10 + 6x + (-4x + 4x2) + -2x = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15

Reorder the terms:
-10 + 6x + -4x + -2x + 4x2 = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15

Combine like terms: 6x + -4x = 2x
-10 + 2x + -2x + 4x2 = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15

Combine like terms: 2x + -2x = 0
-10 + 0 + 4x2 = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15
-10 + 4x2 = x2 + 3(3x + -7) + 3x2 + 2x + -8 + -15

Reorder the terms:
-10 + 4x2 = x2 + 3(-7 + 3x) + 3x2 + 2x + -8 + -15
-10 + 4x2 = x2 + (-7 * 3 + 3x * 3) + 3x2 + 2x + -8 + -15
-10 + 4x2 = x2 + (-21 + 9x) + 3x2 + 2x + -8 + -15

Reorder the terms:
-10 + 4x2 = -21 + -8 + -15 + 9x + 2x + x2 + 3x2

Combine like terms: -21 + -8 = -29
-10 + 4x2 = -29 + -15 + 9x + 2x + x2 + 3x2

Combine like terms: -29 + -15 = -44
-10 + 4x2 = -44 + 9x + 2x + x2 + 3x2

Combine like terms: 9x + 2x = 11x
-10 + 4x2 = -44 + 11x + x2 + 3x2

Combine like terms: x2 + 3x2 = 4x2
-10 + 4x2 = -44 + 11x + 4x2

Add '-4x2' to each side of the equation.
-10 + 4x2 + -4x2 = -44 + 11x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-10 + 0 = -44 + 11x + 4x2 + -4x2
-10 = -44 + 11x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-10 = -44 + 11x + 0
-10 = -44 + 11x

Solving
-10 = -44 + 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.
-10 + -11x = -44 + 11x + -11x

Combine like terms: 11x + -11x = 0
-10 + -11x = -44 + 0
-10 + -11x = -44

Add '10' to each side of the equation.
-10 + 10 + -11x = -44 + 10

Combine like terms: -10 + 10 = 0
0 + -11x = -44 + 10
-11x = -44 + 10

Combine like terms: -44 + 10 = -34
-11x = -34

Divide each side by '-11'.
x = 3.090909091

Simplifying
x = 3.090909091

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