(x-4)(2x+3)=(2x-1)x-12

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Solution for (x-4)(2x+3)=(2x-1)x-12 equation: 


Simplifying
(x + -4)(2x + 3) = (2x + -1) * x + -12

Reorder the terms:
(-4 + x)(2x + 3) = (2x + -1) * x + -12

Reorder the terms:
(-4 + x)(3 + 2x) = (2x + -1) * x + -12

Multiply (-4 + x) * (3 + 2x)
(-4(3 + 2x) + x(3 + 2x)) = (2x + -1) * x + -12
((3 * -4 + 2x * -4) + x(3 + 2x)) = (2x + -1) * x + -12
((-12 + -8x) + x(3 + 2x)) = (2x + -1) * x + -12
(-12 + -8x + (3 * x + 2x * x)) = (2x + -1) * x + -12
(-12 + -8x + (3x + 2x2)) = (2x + -1) * x + -12

Combine like terms: -8x + 3x = -5x
(-12 + -5x + 2x2) = (2x + -1) * x + -12

Reorder the terms:
-12 + -5x + 2x2 = (-1 + 2x) * x + -12

Reorder the terms for easier multiplication:
-12 + -5x + 2x2 = x(-1 + 2x) + -12
-12 + -5x + 2x2 = (-1 * x + 2x * x) + -12
-12 + -5x + 2x2 = (-1x + 2x2) + -12

Reorder the terms:
-12 + -5x + 2x2 = -12 + -1x + 2x2

Add '12' to each side of the equation.
-12 + -5x + 12 + 2x2 = -12 + -1x + 12 + 2x2

Reorder the terms:
-12 + 12 + -5x + 2x2 = -12 + -1x + 12 + 2x2

Combine like terms: -12 + 12 = 0
0 + -5x + 2x2 = -12 + -1x + 12 + 2x2
-5x + 2x2 = -12 + -1x + 12 + 2x2

Reorder the terms:
-5x + 2x2 = -12 + 12 + -1x + 2x2

Combine like terms: -12 + 12 = 0
-5x + 2x2 = 0 + -1x + 2x2
-5x + 2x2 = -1x + 2x2

Add '-2x2' to each side of the equation.
-5x + 2x2 + -2x2 = -1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5x + 0 = -1x + 2x2 + -2x2
-5x = -1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5x = -1x + 0
-5x = -1x

Solving
-5x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5x + x = -1x + x

Combine like terms: -5x + x = -4x
-4x = -1x + x

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

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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