3(x+1)(x-1)-5=3x(x+2)

Solution for 3(x+1)(x-1)-5=3x(x+2) equation:

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

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

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

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

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

Reorder the terms:
-3 + -5 + 3x2 = 3x(x + 2)

Combine like terms: -3 + -5 = -8
-8 + 3x2 = 3x(x + 2)

Reorder the terms:
-8 + 3x2 = 3x(2 + x)
-8 + 3x2 = (2 * 3x + x * 3x)
-8 + 3x2 = (6x + 3x2)

Add '-3x2' to each side of the equation.
-8 + 3x2 + -3x2 = 6x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + 0 = 6x + 3x2 + -3x2
-8 = 6x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 = 6x + 0
-8 = 6x

Solving
-8 = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -6x = 0

Add '8' to each side of the equation.
-8 + 8 + -6x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = 0 + 8
-6x = 0 + 8

Combine like terms: 0 + 8 = 8
-6x = 8

Divide each side by '-6'.
x = -1.333333333

Simplifying
x = -1.333333333