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

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


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

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

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

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

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

Reorder the terms:
-3 + 3x2 = (1 + 3x)(x + -2) + 9

Reorder the terms:
-3 + 3x2 = (1 + 3x)(-2 + x) + 9

Multiply (1 + 3x) * (-2 + x)
-3 + 3x2 = (1(-2 + x) + 3x * (-2 + x)) + 9
-3 + 3x2 = ((-2 * 1 + x * 1) + 3x * (-2 + x)) + 9
-3 + 3x2 = ((-2 + 1x) + 3x * (-2 + x)) + 9
-3 + 3x2 = (-2 + 1x + (-2 * 3x + x * 3x)) + 9
-3 + 3x2 = (-2 + 1x + (-6x + 3x2)) + 9

Combine like terms: 1x + -6x = -5x
-3 + 3x2 = (-2 + -5x + 3x2) + 9

Reorder the terms:
-3 + 3x2 = -2 + 9 + -5x + 3x2

Combine like terms: -2 + 9 = 7
-3 + 3x2 = 7 + -5x + 3x2

Add '-3x2' to each side of the equation.
-3 + 3x2 + -3x2 = 7 + -5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3 + 0 = 7 + -5x + 3x2 + -3x2
-3 = 7 + -5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3 = 7 + -5x + 0
-3 = 7 + -5x

Solving
-3 = 7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-3 + 5x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 5x = 7 + 0
-3 + 5x = 7

Add '3' to each side of the equation.
-3 + 3 + 5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 7 + 3
5x = 7 + 3

Combine like terms: 7 + 3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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