(1-x)(2x+3)-(x+1)-(1-x)(2x-3)=0

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Solution for (1-x)(2x+3)-(x+1)-(1-x)(2x-3)=0 equation: 


Simplifying
(1 + -1x)(2x + 3) + -1(x + 1) + -1(1 + -1x)(2x + -3) = 0

Reorder the terms:
(1 + -1x)(3 + 2x) + -1(x + 1) + -1(1 + -1x)(2x + -3) = 0

Multiply (1 + -1x) * (3 + 2x)
(1(3 + 2x) + -1x * (3 + 2x)) + -1(x + 1) + -1(1 + -1x)(2x + -3) = 0
((3 * 1 + 2x * 1) + -1x * (3 + 2x)) + -1(x + 1) + -1(1 + -1x)(2x + -3) = 0
((3 + 2x) + -1x * (3 + 2x)) + -1(x + 1) + -1(1 + -1x)(2x + -3) = 0
(3 + 2x + (3 * -1x + 2x * -1x)) + -1(x + 1) + -1(1 + -1x)(2x + -3) = 0
(3 + 2x + (-3x + -2x2)) + -1(x + 1) + -1(1 + -1x)(2x + -3) = 0

Combine like terms: 2x + -3x = -1x
(3 + -1x + -2x2) + -1(x + 1) + -1(1 + -1x)(2x + -3) = 0

Reorder the terms:
3 + -1x + -2x2 + -1(1 + x) + -1(1 + -1x)(2x + -3) = 0
3 + -1x + -2x2 + (1 * -1 + x * -1) + -1(1 + -1x)(2x + -3) = 0
3 + -1x + -2x2 + (-1 + -1x) + -1(1 + -1x)(2x + -3) = 0

Reorder the terms:
3 + -1x + -2x2 + -1 + -1x + -1(1 + -1x)(-3 + 2x) = 0

Multiply (1 + -1x) * (-3 + 2x)
3 + -1x + -2x2 + -1 + -1x + -1(1(-3 + 2x) + -1x * (-3 + 2x)) = 0
3 + -1x + -2x2 + -1 + -1x + -1((-3 * 1 + 2x * 1) + -1x * (-3 + 2x)) = 0
3 + -1x + -2x2 + -1 + -1x + -1((-3 + 2x) + -1x * (-3 + 2x)) = 0
3 + -1x + -2x2 + -1 + -1x + -1(-3 + 2x + (-3 * -1x + 2x * -1x)) = 0
3 + -1x + -2x2 + -1 + -1x + -1(-3 + 2x + (3x + -2x2)) = 0

Combine like terms: 2x + 3x = 5x
3 + -1x + -2x2 + -1 + -1x + -1(-3 + 5x + -2x2) = 0
3 + -1x + -2x2 + -1 + -1x + (-3 * -1 + 5x * -1 + -2x2 * -1) = 0
3 + -1x + -2x2 + -1 + -1x + (3 + -5x + 2x2) = 0

Reorder the terms:
3 + -1 + 3 + -1x + -1x + -5x + -2x2 + 2x2 = 0

Combine like terms: 3 + -1 = 2
2 + 3 + -1x + -1x + -5x + -2x2 + 2x2 = 0

Combine like terms: 2 + 3 = 5
5 + -1x + -1x + -5x + -2x2 + 2x2 = 0

Combine like terms: -1x + -1x = -2x
5 + -2x + -5x + -2x2 + 2x2 = 0

Combine like terms: -2x + -5x = -7x
5 + -7x + -2x2 + 2x2 = 0

Combine like terms: -2x2 + 2x2 = 0
5 + -7x + 0 = 0
5 + -7x = 0

Solving
5 + -7x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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