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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Divide each side by '6'.
x = 0

Simplifying
x = 0

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