(x-10)(x+3)=(x+1)(x-6)

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Solution for (x-10)(x+3)=(x+1)(x-6) equation: 


Simplifying
(x + -10)(x + 3) = (x + 1)(x + -6)

Reorder the terms:
(-10 + x)(x + 3) = (x + 1)(x + -6)

Reorder the terms:
(-10 + x)(3 + x) = (x + 1)(x + -6)

Multiply (-10 + x) * (3 + x)
(-10(3 + x) + x(3 + x)) = (x + 1)(x + -6)
((3 * -10 + x * -10) + x(3 + x)) = (x + 1)(x + -6)
((-30 + -10x) + x(3 + x)) = (x + 1)(x + -6)
(-30 + -10x + (3 * x + x * x)) = (x + 1)(x + -6)
(-30 + -10x + (3x + x2)) = (x + 1)(x + -6)

Combine like terms: -10x + 3x = -7x
(-30 + -7x + x2) = (x + 1)(x + -6)

Reorder the terms:
-30 + -7x + x2 = (1 + x)(x + -6)

Reorder the terms:
-30 + -7x + x2 = (1 + x)(-6 + x)

Multiply (1 + x) * (-6 + x)
-30 + -7x + x2 = (1(-6 + x) + x(-6 + x))
-30 + -7x + x2 = ((-6 * 1 + x * 1) + x(-6 + x))
-30 + -7x + x2 = ((-6 + 1x) + x(-6 + x))
-30 + -7x + x2 = (-6 + 1x + (-6 * x + x * x))
-30 + -7x + x2 = (-6 + 1x + (-6x + x2))

Combine like terms: 1x + -6x = -5x
-30 + -7x + x2 = (-6 + -5x + x2)

Add '-1x2' to each side of the equation.
-30 + -7x + x2 + -1x2 = -6 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-30 + -7x + 0 = -6 + -5x + x2 + -1x2
-30 + -7x = -6 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-30 + -7x = -6 + -5x + 0
-30 + -7x = -6 + -5x

Solving
-30 + -7x = -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.
-30 + -7x + 5x = -6 + -5x + 5x

Combine like terms: -7x + 5x = -2x
-30 + -2x = -6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-30 + -2x = -6 + 0
-30 + -2x = -6

Add '30' to each side of the equation.
-30 + 30 + -2x = -6 + 30

Combine like terms: -30 + 30 = 0
0 + -2x = -6 + 30
-2x = -6 + 30

Combine like terms: -6 + 30 = 24
-2x = 24

Divide each side by '-2'.
x = -12

Simplifying
x = -12

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