(x+3)(x-4)-(x+2)(x-5)=

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Solution for (x+3)(x-4)-(x+2)(x-5)= equation:


Simplifying
(x + 3)(x + -4) + -1(x + 2)(x + -5) = 0

Reorder the terms:
(3 + x)(x + -4) + -1(x + 2)(x + -5) = 0

Reorder the terms:
(3 + x)(-4 + x) + -1(x + 2)(x + -5) = 0

Multiply (3 + x) * (-4 + x)
(3(-4 + x) + x(-4 + x)) + -1(x + 2)(x + -5) = 0
((-4 * 3 + x * 3) + x(-4 + x)) + -1(x + 2)(x + -5) = 0
((-12 + 3x) + x(-4 + x)) + -1(x + 2)(x + -5) = 0
(-12 + 3x + (-4 * x + x * x)) + -1(x + 2)(x + -5) = 0
(-12 + 3x + (-4x + x2)) + -1(x + 2)(x + -5) = 0

Combine like terms: 3x + -4x = -1x
(-12 + -1x + x2) + -1(x + 2)(x + -5) = 0

Reorder the terms:
-12 + -1x + x2 + -1(2 + x)(x + -5) = 0

Reorder the terms:
-12 + -1x + x2 + -1(2 + x)(-5 + x) = 0

Multiply (2 + x) * (-5 + x)
-12 + -1x + x2 + -1(2(-5 + x) + x(-5 + x)) = 0
-12 + -1x + x2 + -1((-5 * 2 + x * 2) + x(-5 + x)) = 0
-12 + -1x + x2 + -1((-10 + 2x) + x(-5 + x)) = 0
-12 + -1x + x2 + -1(-10 + 2x + (-5 * x + x * x)) = 0
-12 + -1x + x2 + -1(-10 + 2x + (-5x + x2)) = 0

Combine like terms: 2x + -5x = -3x
-12 + -1x + x2 + -1(-10 + -3x + x2) = 0
-12 + -1x + x2 + (-10 * -1 + -3x * -1 + x2 * -1) = 0
-12 + -1x + x2 + (10 + 3x + -1x2) = 0

Reorder the terms:
-12 + 10 + -1x + 3x + x2 + -1x2 = 0

Combine like terms: -12 + 10 = -2
-2 + -1x + 3x + x2 + -1x2 = 0

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

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

Solving
-2 + 2x = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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