(x+5)(x-7)-(x+3)(x-8)=

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Solution for (x+5)(x-7)-(x+3)(x-8)= equation: 


Simplifying
(x + 5)(x + -7) + -1(x + 3)(x + -8) = 0

Reorder the terms:
(5 + x)(x + -7) + -1(x + 3)(x + -8) = 0

Reorder the terms:
(5 + x)(-7 + x) + -1(x + 3)(x + -8) = 0

Multiply (5 + x) * (-7 + x)
(5(-7 + x) + x(-7 + x)) + -1(x + 3)(x + -8) = 0
((-7 * 5 + x * 5) + x(-7 + x)) + -1(x + 3)(x + -8) = 0
((-35 + 5x) + x(-7 + x)) + -1(x + 3)(x + -8) = 0
(-35 + 5x + (-7 * x + x * x)) + -1(x + 3)(x + -8) = 0
(-35 + 5x + (-7x + x2)) + -1(x + 3)(x + -8) = 0

Combine like terms: 5x + -7x = -2x
(-35 + -2x + x2) + -1(x + 3)(x + -8) = 0

Reorder the terms:
-35 + -2x + x2 + -1(3 + x)(x + -8) = 0

Reorder the terms:
-35 + -2x + x2 + -1(3 + x)(-8 + x) = 0

Multiply (3 + x) * (-8 + x)
-35 + -2x + x2 + -1(3(-8 + x) + x(-8 + x)) = 0
-35 + -2x + x2 + -1((-8 * 3 + x * 3) + x(-8 + x)) = 0
-35 + -2x + x2 + -1((-24 + 3x) + x(-8 + x)) = 0
-35 + -2x + x2 + -1(-24 + 3x + (-8 * x + x * x)) = 0
-35 + -2x + x2 + -1(-24 + 3x + (-8x + x2)) = 0

Combine like terms: 3x + -8x = -5x
-35 + -2x + x2 + -1(-24 + -5x + x2) = 0
-35 + -2x + x2 + (-24 * -1 + -5x * -1 + x2 * -1) = 0
-35 + -2x + x2 + (24 + 5x + -1x2) = 0

Reorder the terms:
-35 + 24 + -2x + 5x + x2 + -1x2 = 0

Combine like terms: -35 + 24 = -11
-11 + -2x + 5x + x2 + -1x2 = 0

Combine like terms: -2x + 5x = 3x
-11 + 3x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-11 + 3x + 0 = 0
-11 + 3x = 0

Solving
-11 + 3x = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 0 + 11
3x = 0 + 11

Combine like terms: 0 + 11 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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