(x+2)(x-3)=(x+1)(x-6)+12

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Solution for (x+2)(x-3)=(x+1)(x-6)+12 equation: 


Simplifying
(x + 2)(x + -3) = (x + 1)(x + -6) + 12

Reorder the terms:
(2 + x)(x + -3) = (x + 1)(x + -6) + 12

Reorder the terms:
(2 + x)(-3 + x) = (x + 1)(x + -6) + 12

Multiply (2 + x) * (-3 + x)
(2(-3 + x) + x(-3 + x)) = (x + 1)(x + -6) + 12
((-3 * 2 + x * 2) + x(-3 + x)) = (x + 1)(x + -6) + 12
((-6 + 2x) + x(-3 + x)) = (x + 1)(x + -6) + 12
(-6 + 2x + (-3 * x + x * x)) = (x + 1)(x + -6) + 12
(-6 + 2x + (-3x + x2)) = (x + 1)(x + -6) + 12

Combine like terms: 2x + -3x = -1x
(-6 + -1x + x2) = (x + 1)(x + -6) + 12

Reorder the terms:
-6 + -1x + x2 = (1 + x)(x + -6) + 12

Reorder the terms:
-6 + -1x + x2 = (1 + x)(-6 + x) + 12

Multiply (1 + x) * (-6 + x)
-6 + -1x + x2 = (1(-6 + x) + x(-6 + x)) + 12
-6 + -1x + x2 = ((-6 * 1 + x * 1) + x(-6 + x)) + 12
-6 + -1x + x2 = ((-6 + 1x) + x(-6 + x)) + 12
-6 + -1x + x2 = (-6 + 1x + (-6 * x + x * x)) + 12
-6 + -1x + x2 = (-6 + 1x + (-6x + x2)) + 12

Combine like terms: 1x + -6x = -5x
-6 + -1x + x2 = (-6 + -5x + x2) + 12

Reorder the terms:
-6 + -1x + x2 = -6 + 12 + -5x + x2

Combine like terms: -6 + 12 = 6
-6 + -1x + x2 = 6 + -5x + x2

Add '-1x2' to each side of the equation.
-6 + -1x + x2 + -1x2 = 6 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x + 0 = 6 + -5x + x2 + -1x2
-6 + -1x = 6 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x = 6 + -5x + 0
-6 + -1x = 6 + -5x

Solving
-6 + -1x = 6 + -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.
-6 + -1x + 5x = 6 + -5x + 5x

Combine like terms: -1x + 5x = 4x
-6 + 4x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 4x = 6 + 0
-6 + 4x = 6

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

Combine like terms: -6 + 6 = 0
0 + 4x = 6 + 6
4x = 6 + 6

Combine like terms: 6 + 6 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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