2x(x-3)+12=2(x-1)(x+1)-3x+23

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Solution for 2x(x-3)+12=2(x-1)(x+1)-3x+23 equation: 


Simplifying
2x(x + -3) + 12 = 2(x + -1)(x + 1) + -3x + 23

Reorder the terms:
2x(-3 + x) + 12 = 2(x + -1)(x + 1) + -3x + 23
(-3 * 2x + x * 2x) + 12 = 2(x + -1)(x + 1) + -3x + 23
(-6x + 2x2) + 12 = 2(x + -1)(x + 1) + -3x + 23

Reorder the terms:
12 + -6x + 2x2 = 2(x + -1)(x + 1) + -3x + 23

Reorder the terms:
12 + -6x + 2x2 = 2(-1 + x)(x + 1) + -3x + 23

Reorder the terms:
12 + -6x + 2x2 = 2(-1 + x)(1 + x) + -3x + 23

Multiply (-1 + x) * (1 + x)
12 + -6x + 2x2 = 2(-1(1 + x) + x(1 + x)) + -3x + 23
12 + -6x + 2x2 = 2((1 * -1 + x * -1) + x(1 + x)) + -3x + 23
12 + -6x + 2x2 = 2((-1 + -1x) + x(1 + x)) + -3x + 23
12 + -6x + 2x2 = 2(-1 + -1x + (1 * x + x * x)) + -3x + 23
12 + -6x + 2x2 = 2(-1 + -1x + (1x + x2)) + -3x + 23

Combine like terms: -1x + 1x = 0
12 + -6x + 2x2 = 2(-1 + 0 + x2) + -3x + 23
12 + -6x + 2x2 = 2(-1 + x2) + -3x + 23
12 + -6x + 2x2 = (-1 * 2 + x2 * 2) + -3x + 23
12 + -6x + 2x2 = (-2 + 2x2) + -3x + 23

Reorder the terms:
12 + -6x + 2x2 = -2 + 23 + -3x + 2x2

Combine like terms: -2 + 23 = 21
12 + -6x + 2x2 = 21 + -3x + 2x2

Add '-2x2' to each side of the equation.
12 + -6x + 2x2 + -2x2 = 21 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + -6x + 0 = 21 + -3x + 2x2 + -2x2
12 + -6x = 21 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + -6x = 21 + -3x + 0
12 + -6x = 21 + -3x

Solving
12 + -6x = 21 + -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.
12 + -6x + 3x = 21 + -3x + 3x

Combine like terms: -6x + 3x = -3x
12 + -3x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + -3x = 21 + 0
12 + -3x = 21

Add '-12' to each side of the equation.
12 + -12 + -3x = 21 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 21 + -12
-3x = 21 + -12

Combine like terms: 21 + -12 = 9
-3x = 9

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

Simplifying
x = -3

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