(x-1)(x+2)-(x+1)(x-2)=6

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Solution for (x-1)(x+2)-(x+1)(x-2)=6 equation: 


Simplifying
(x + -1)(x + 2) + -1(x + 1)(x + -2) = 6

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

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

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

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

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

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

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

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

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

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

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

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

Solving
2x = 6

Solving for variable 'x'.

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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