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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
x + (-9 + 0 + x2) = 3 + x(x + 2)
x + (-9 + x2) = 3 + x(x + 2)

Reorder the terms:
-9 + x + x2 = 3 + x(x + 2)

Reorder the terms:
-9 + x + x2 = 3 + x(2 + x)
-9 + x + x2 = 3 + (2 * x + x * x)
-9 + x + x2 = 3 + (2x + x2)

Add '-1x2' to each side of the equation.
-9 + x + x2 + -1x2 = 3 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + x + 0 = 3 + 2x + x2 + -1x2
-9 + x = 3 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + x = 3 + 2x + 0
-9 + x = 3 + 2x

Solving
-9 + x = 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.
-9 + x + -2x = 3 + 2x + -2x

Combine like terms: x + -2x = -1x
-9 + -1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + -1x = 3 + 0
-9 + -1x = 3

Add '9' to each side of the equation.
-9 + 9 + -1x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 3 + 9
-1x = 3 + 9

Combine like terms: 3 + 9 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12