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

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


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

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

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

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

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

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

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

Combine like terms: 2x2 + 2x2 = 4x2
-1 + 1x + 4x2 = 2(2x2 + 3x + 1)

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

Add '-4x2' to each side of the equation.
-1 + 1x + 4x2 + -4x2 = 2 + 6x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-1 + 1x + 0 = 2 + 6x + 4x2 + -4x2
-1 + 1x = 2 + 6x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-1 + 1x = 2 + 6x + 0
-1 + 1x = 2 + 6x

Solving
-1 + 1x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 1x + -6x = 2 + 6x + -6x

Combine like terms: 1x + -6x = -5x
-1 + -5x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -5x = 2 + 0
-1 + -5x = 2

Add '1' to each side of the equation.
-1 + 1 + -5x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 2 + 1
-5x = 2 + 1

Combine like terms: 2 + 1 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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