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

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


Simplifying
(2x + 1)(x + -1) + x2 = 3(x + -1)(x + 2) + -3

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

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

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

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

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

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

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

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

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

Reorder the terms:
-1 + -1x + 3x2 = -6 + -3 + 3x + 3x2

Combine like terms: -6 + -3 = -9
-1 + -1x + 3x2 = -9 + 3x + 3x2

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

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

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

Solving
-1 + -1x = -9 + 3x

Solving for variable 'x'.

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

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

Combine like terms: -1x + -3x = -4x
-1 + -4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -4x = -9 + 0
-1 + -4x = -9

Add '1' to each side of the equation.
-1 + 1 + -4x = -9 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = -9 + 1
-4x = -9 + 1

Combine like terms: -9 + 1 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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