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

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


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

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

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

Multiply (4 + 2x) * (-3 + x)
(4(-3 + x) + 2x * (-3 + x)) = (x + -1)(2x + -12)
((-3 * 4 + x * 4) + 2x * (-3 + x)) = (x + -1)(2x + -12)
((-12 + 4x) + 2x * (-3 + x)) = (x + -1)(2x + -12)
(-12 + 4x + (-3 * 2x + x * 2x)) = (x + -1)(2x + -12)
(-12 + 4x + (-6x + 2x2)) = (x + -1)(2x + -12)

Combine like terms: 4x + -6x = -2x
(-12 + -2x + 2x2) = (x + -1)(2x + -12)

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

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

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

Combine like terms: -2x + -12x = -14x
-12 + -2x + 2x2 = (12 + -14x + 2x2)

Add '-2x2' to each side of the equation.
-12 + -2x + 2x2 + -2x2 = 12 + -14x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + -2x + 0 = 12 + -14x + 2x2 + -2x2
-12 + -2x = 12 + -14x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + -2x = 12 + -14x + 0
-12 + -2x = 12 + -14x

Solving
-12 + -2x = 12 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-12 + -2x + 14x = 12 + -14x + 14x

Combine like terms: -2x + 14x = 12x
-12 + 12x = 12 + -14x + 14x

Combine like terms: -14x + 14x = 0
-12 + 12x = 12 + 0
-12 + 12x = 12

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

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

Combine like terms: 12 + 12 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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