(x+10)(x-7)-(x+1)(x+3)=2

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Solution for (x+10)(x-7)-(x+1)(x+3)=2 equation: 


Simplifying
(x + 10)(x + -7) + -1(x + 1)(x + 3) = 2

Reorder the terms:
(10 + x)(x + -7) + -1(x + 1)(x + 3) = 2

Reorder the terms:
(10 + x)(-7 + x) + -1(x + 1)(x + 3) = 2

Multiply (10 + x) * (-7 + x)
(10(-7 + x) + x(-7 + x)) + -1(x + 1)(x + 3) = 2
((-7 * 10 + x * 10) + x(-7 + x)) + -1(x + 1)(x + 3) = 2
((-70 + 10x) + x(-7 + x)) + -1(x + 1)(x + 3) = 2
(-70 + 10x + (-7 * x + x * x)) + -1(x + 1)(x + 3) = 2
(-70 + 10x + (-7x + x2)) + -1(x + 1)(x + 3) = 2

Combine like terms: 10x + -7x = 3x
(-70 + 3x + x2) + -1(x + 1)(x + 3) = 2

Reorder the terms:
-70 + 3x + x2 + -1(1 + x)(x + 3) = 2

Reorder the terms:
-70 + 3x + x2 + -1(1 + x)(3 + x) = 2

Multiply (1 + x) * (3 + x)
-70 + 3x + x2 + -1(1(3 + x) + x(3 + x)) = 2
-70 + 3x + x2 + -1((3 * 1 + x * 1) + x(3 + x)) = 2
-70 + 3x + x2 + -1((3 + 1x) + x(3 + x)) = 2
-70 + 3x + x2 + -1(3 + 1x + (3 * x + x * x)) = 2
-70 + 3x + x2 + -1(3 + 1x + (3x + x2)) = 2

Combine like terms: 1x + 3x = 4x
-70 + 3x + x2 + -1(3 + 4x + x2) = 2
-70 + 3x + x2 + (3 * -1 + 4x * -1 + x2 * -1) = 2
-70 + 3x + x2 + (-3 + -4x + -1x2) = 2

Reorder the terms:
-70 + -3 + 3x + -4x + x2 + -1x2 = 2

Combine like terms: -70 + -3 = -73
-73 + 3x + -4x + x2 + -1x2 = 2

Combine like terms: 3x + -4x = -1x
-73 + -1x + x2 + -1x2 = 2

Combine like terms: x2 + -1x2 = 0
-73 + -1x + 0 = 2
-73 + -1x = 2

Solving
-73 + -1x = 2

Solving for variable 'x'.

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

Add '73' to each side of the equation.
-73 + 73 + -1x = 2 + 73

Combine like terms: -73 + 73 = 0
0 + -1x = 2 + 73
-1x = 2 + 73

Combine like terms: 2 + 73 = 75
-1x = 75

Divide each side by '-1'.
x = -75

Simplifying
x = -75

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