x(x-15)-3=(x+6)(x-6-18)

Solution for x(x-15)-3=(x+6)(x-6-18) equation:

Simplifying
x(x + -15) + -3 = (x + 6)(x + -6 + -18)

Reorder the terms:
x(-15 + x) + -3 = (x + 6)(x + -6 + -18)
(-15 * x + x * x) + -3 = (x + 6)(x + -6 + -18)
(-15x + x2) + -3 = (x + 6)(x + -6 + -18)

Reorder the terms:
-3 + -15x + x2 = (x + 6)(x + -6 + -18)

Reorder the terms:
-3 + -15x + x2 = (6 + x)(x + -6 + -18)

Reorder the terms:
-3 + -15x + x2 = (6 + x)(-6 + -18 + x)

Combine like terms: -6 + -18 = -24
-3 + -15x + x2 = (6 + x)(-24 + x)

Multiply (6 + x) * (-24 + x)
-3 + -15x + x2 = (6(-24 + x) + x(-24 + x))
-3 + -15x + x2 = ((-24 * 6 + x * 6) + x(-24 + x))
-3 + -15x + x2 = ((-144 + 6x) + x(-24 + x))
-3 + -15x + x2 = (-144 + 6x + (-24 * x + x * x))
-3 + -15x + x2 = (-144 + 6x + (-24x + x2))

Combine like terms: 6x + -24x = -18x
-3 + -15x + x2 = (-144 + -18x + x2)

Add '-1x2' to each side of the equation.
-3 + -15x + x2 + -1x2 = -144 + -18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + -15x + 0 = -144 + -18x + x2 + -1x2
-3 + -15x = -144 + -18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + -15x = -144 + -18x + 0
-3 + -15x = -144 + -18x

Solving
-3 + -15x = -144 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-3 + -15x + 18x = -144 + -18x + 18x

Combine like terms: -15x + 18x = 3x
-3 + 3x = -144 + -18x + 18x

Combine like terms: -18x + 18x = 0
-3 + 3x = -144 + 0
-3 + 3x = -144

Add '3' to each side of the equation.
-3 + 3 + 3x = -144 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -144 + 3
3x = -144 + 3

Combine like terms: -144 + 3 = -141
3x = -141

Divide each side by '3'.
x = -47

Simplifying
x = -47