(2x-1)(3x+2)-(3x+1)(2x-3)=9

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Solution for (2x-1)(3x+2)-(3x+1)(2x-3)=9 equation: 


Simplifying
(2x + -1)(3x + 2) + -1(3x + 1)(2x + -3) = 9

Reorder the terms:
(-1 + 2x)(3x + 2) + -1(3x + 1)(2x + -3) = 9

Reorder the terms:
(-1 + 2x)(2 + 3x) + -1(3x + 1)(2x + -3) = 9

Multiply (-1 + 2x) * (2 + 3x)
(-1(2 + 3x) + 2x * (2 + 3x)) + -1(3x + 1)(2x + -3) = 9
((2 * -1 + 3x * -1) + 2x * (2 + 3x)) + -1(3x + 1)(2x + -3) = 9
((-2 + -3x) + 2x * (2 + 3x)) + -1(3x + 1)(2x + -3) = 9
(-2 + -3x + (2 * 2x + 3x * 2x)) + -1(3x + 1)(2x + -3) = 9
(-2 + -3x + (4x + 6x2)) + -1(3x + 1)(2x + -3) = 9

Combine like terms: -3x + 4x = 1x
(-2 + 1x + 6x2) + -1(3x + 1)(2x + -3) = 9

Reorder the terms:
-2 + 1x + 6x2 + -1(1 + 3x)(2x + -3) = 9

Reorder the terms:
-2 + 1x + 6x2 + -1(1 + 3x)(-3 + 2x) = 9

Multiply (1 + 3x) * (-3 + 2x)
-2 + 1x + 6x2 + -1(1(-3 + 2x) + 3x * (-3 + 2x)) = 9
-2 + 1x + 6x2 + -1((-3 * 1 + 2x * 1) + 3x * (-3 + 2x)) = 9
-2 + 1x + 6x2 + -1((-3 + 2x) + 3x * (-3 + 2x)) = 9
-2 + 1x + 6x2 + -1(-3 + 2x + (-3 * 3x + 2x * 3x)) = 9
-2 + 1x + 6x2 + -1(-3 + 2x + (-9x + 6x2)) = 9

Combine like terms: 2x + -9x = -7x
-2 + 1x + 6x2 + -1(-3 + -7x + 6x2) = 9
-2 + 1x + 6x2 + (-3 * -1 + -7x * -1 + 6x2 * -1) = 9
-2 + 1x + 6x2 + (3 + 7x + -6x2) = 9

Reorder the terms:
-2 + 3 + 1x + 7x + 6x2 + -6x2 = 9

Combine like terms: -2 + 3 = 1
1 + 1x + 7x + 6x2 + -6x2 = 9

Combine like terms: 1x + 7x = 8x
1 + 8x + 6x2 + -6x2 = 9

Combine like terms: 6x2 + -6x2 = 0
1 + 8x + 0 = 9
1 + 8x = 9

Solving
1 + 8x = 9

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 8x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 9 + -1
8x = 9 + -1

Combine like terms: 9 + -1 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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