(x+4)(x-6)-(x+3)(x-7)=

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Solution for (x+4)(x-6)-(x+3)(x-7)= equation: 


Simplifying
(x + 4)(x + -6) + -1(x + 3)(x + -7) = 0

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

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

Multiply (4 + x) * (-6 + x)
(4(-6 + x) + x(-6 + x)) + -1(x + 3)(x + -7) = 0
((-6 * 4 + x * 4) + x(-6 + x)) + -1(x + 3)(x + -7) = 0
((-24 + 4x) + x(-6 + x)) + -1(x + 3)(x + -7) = 0
(-24 + 4x + (-6 * x + x * x)) + -1(x + 3)(x + -7) = 0
(-24 + 4x + (-6x + x2)) + -1(x + 3)(x + -7) = 0

Combine like terms: 4x + -6x = -2x
(-24 + -2x + x2) + -1(x + 3)(x + -7) = 0

Reorder the terms:
-24 + -2x + x2 + -1(3 + x)(x + -7) = 0

Reorder the terms:
-24 + -2x + x2 + -1(3 + x)(-7 + x) = 0

Multiply (3 + x) * (-7 + x)
-24 + -2x + x2 + -1(3(-7 + x) + x(-7 + x)) = 0
-24 + -2x + x2 + -1((-7 * 3 + x * 3) + x(-7 + x)) = 0
-24 + -2x + x2 + -1((-21 + 3x) + x(-7 + x)) = 0
-24 + -2x + x2 + -1(-21 + 3x + (-7 * x + x * x)) = 0
-24 + -2x + x2 + -1(-21 + 3x + (-7x + x2)) = 0

Combine like terms: 3x + -7x = -4x
-24 + -2x + x2 + -1(-21 + -4x + x2) = 0
-24 + -2x + x2 + (-21 * -1 + -4x * -1 + x2 * -1) = 0
-24 + -2x + x2 + (21 + 4x + -1x2) = 0

Reorder the terms:
-24 + 21 + -2x + 4x + x2 + -1x2 = 0

Combine like terms: -24 + 21 = -3
-3 + -2x + 4x + x2 + -1x2 = 0

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

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

Solving
-3 + 2x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 0 + 3
2x = 0 + 3

Combine like terms: 0 + 3 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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