(x+9)(x-2)=(x-1)(x+3)

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Solution for (x+9)(x-2)=(x-1)(x+3) equation: 


Simplifying
(x + 9)(x + -2) = (x + -1)(x + 3)

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

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

Multiply (9 + x) * (-2 + x)
(9(-2 + x) + x(-2 + x)) = (x + -1)(x + 3)
((-2 * 9 + x * 9) + x(-2 + x)) = (x + -1)(x + 3)
((-18 + 9x) + x(-2 + x)) = (x + -1)(x + 3)
(-18 + 9x + (-2 * x + x * x)) = (x + -1)(x + 3)
(-18 + 9x + (-2x + x2)) = (x + -1)(x + 3)

Combine like terms: 9x + -2x = 7x
(-18 + 7x + x2) = (x + -1)(x + 3)

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

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

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

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

Add '-1x2' to each side of the equation.
-18 + 7x + x2 + -1x2 = -3 + 2x + x2 + -1x2

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

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

Solving
-18 + 7x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-18 + 7x + -2x = -3 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-18 + 5x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 5x = -3 + 0
-18 + 5x = -3

Add '18' to each side of the equation.
-18 + 18 + 5x = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -3 + 18
5x = -3 + 18

Combine like terms: -3 + 18 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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