(x+3)(x-6)-(x+2)(x-7)=

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Solution for (x+3)(x-6)-(x+2)(x-7)= equation: 


Simplifying
(x + 3)(x + -6) + -1(x + 2)(x + -7) = 0

Reorder the terms:
(3 + x)(x + -6) + -1(x + 2)(x + -7) = 0

Reorder the terms:
(3 + x)(-6 + x) + -1(x + 2)(x + -7) = 0

Multiply (3 + x) * (-6 + x)
(3(-6 + x) + x(-6 + x)) + -1(x + 2)(x + -7) = 0
((-6 * 3 + x * 3) + x(-6 + x)) + -1(x + 2)(x + -7) = 0
((-18 + 3x) + x(-6 + x)) + -1(x + 2)(x + -7) = 0
(-18 + 3x + (-6 * x + x * x)) + -1(x + 2)(x + -7) = 0
(-18 + 3x + (-6x + x2)) + -1(x + 2)(x + -7) = 0

Combine like terms: 3x + -6x = -3x
(-18 + -3x + x2) + -1(x + 2)(x + -7) = 0

Reorder the terms:
-18 + -3x + x2 + -1(2 + x)(x + -7) = 0

Reorder the terms:
-18 + -3x + x2 + -1(2 + x)(-7 + x) = 0

Multiply (2 + x) * (-7 + x)
-18 + -3x + x2 + -1(2(-7 + x) + x(-7 + x)) = 0
-18 + -3x + x2 + -1((-7 * 2 + x * 2) + x(-7 + x)) = 0
-18 + -3x + x2 + -1((-14 + 2x) + x(-7 + x)) = 0
-18 + -3x + x2 + -1(-14 + 2x + (-7 * x + x * x)) = 0
-18 + -3x + x2 + -1(-14 + 2x + (-7x + x2)) = 0

Combine like terms: 2x + -7x = -5x
-18 + -3x + x2 + -1(-14 + -5x + x2) = 0
-18 + -3x + x2 + (-14 * -1 + -5x * -1 + x2 * -1) = 0
-18 + -3x + x2 + (14 + 5x + -1x2) = 0

Reorder the terms:
-18 + 14 + -3x + 5x + x2 + -1x2 = 0

Combine like terms: -18 + 14 = -4
-4 + -3x + 5x + x2 + -1x2 = 0

Combine like terms: -3x + 5x = 2x
-4 + 2x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-4 + 2x + 0 = 0
-4 + 2x = 0

Solving
-4 + 2x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 0 + 4
2x = 0 + 4

Combine like terms: 0 + 4 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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