(3x-1)(x+2)+5x=(2x+1)(x-3)+x^2

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Solution for (3x-1)(x+2)+5x=(2x+1)(x-3)+x^2 equation: 


Simplifying
(3x + -1)(x + 2) + 5x = (2x + 1)(x + -3) + x2

Reorder the terms:
(-1 + 3x)(x + 2) + 5x = (2x + 1)(x + -3) + x2

Reorder the terms:
(-1 + 3x)(2 + x) + 5x = (2x + 1)(x + -3) + x2

Multiply (-1 + 3x) * (2 + x)
(-1(2 + x) + 3x * (2 + x)) + 5x = (2x + 1)(x + -3) + x2
((2 * -1 + x * -1) + 3x * (2 + x)) + 5x = (2x + 1)(x + -3) + x2
((-2 + -1x) + 3x * (2 + x)) + 5x = (2x + 1)(x + -3) + x2
(-2 + -1x + (2 * 3x + x * 3x)) + 5x = (2x + 1)(x + -3) + x2
(-2 + -1x + (6x + 3x2)) + 5x = (2x + 1)(x + -3) + x2

Combine like terms: -1x + 6x = 5x
(-2 + 5x + 3x2) + 5x = (2x + 1)(x + -3) + x2

Reorder the terms:
-2 + 5x + 5x + 3x2 = (2x + 1)(x + -3) + x2

Combine like terms: 5x + 5x = 10x
-2 + 10x + 3x2 = (2x + 1)(x + -3) + x2

Reorder the terms:
-2 + 10x + 3x2 = (1 + 2x)(x + -3) + x2

Reorder the terms:
-2 + 10x + 3x2 = (1 + 2x)(-3 + x) + x2

Multiply (1 + 2x) * (-3 + x)
-2 + 10x + 3x2 = (1(-3 + x) + 2x * (-3 + x)) + x2
-2 + 10x + 3x2 = ((-3 * 1 + x * 1) + 2x * (-3 + x)) + x2
-2 + 10x + 3x2 = ((-3 + 1x) + 2x * (-3 + x)) + x2
-2 + 10x + 3x2 = (-3 + 1x + (-3 * 2x + x * 2x)) + x2
-2 + 10x + 3x2 = (-3 + 1x + (-6x + 2x2)) + x2

Combine like terms: 1x + -6x = -5x
-2 + 10x + 3x2 = (-3 + -5x + 2x2) + x2

Combine like terms: 2x2 + x2 = 3x2
-2 + 10x + 3x2 = -3 + -5x + 3x2

Add '-3x2' to each side of the equation.
-2 + 10x + 3x2 + -3x2 = -3 + -5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 10x + 0 = -3 + -5x + 3x2 + -3x2
-2 + 10x = -3 + -5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 10x = -3 + -5x + 0
-2 + 10x = -3 + -5x

Solving
-2 + 10x = -3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 10x + 5x = -3 + -5x + 5x

Combine like terms: 10x + 5x = 15x
-2 + 15x = -3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 15x = -3 + 0
-2 + 15x = -3

Add '2' to each side of the equation.
-2 + 2 + 15x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = -3 + 2
15x = -3 + 2

Combine like terms: -3 + 2 = -1
15x = -1

Divide each side by '15'.
x = -0.06666666667

Simplifying
x = -0.06666666667

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