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

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


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

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

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

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

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

Combine like terms: -1x + 3x = 2x
-2x + 2x2 = 2(-3 + 2x + x2)
-2x + 2x2 = (-3 * 2 + 2x * 2 + x2 * 2)
-2x + 2x2 = (-6 + 4x + 2x2)

Add '-2x2' to each side of the equation.
-2x + 2x2 + -2x2 = -6 + 4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2x + 0 = -6 + 4x + 2x2 + -2x2
-2x = -6 + 4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2x = -6 + 4x + 0
-2x = -6 + 4x

Solving
-2x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2x + -4x = -6 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-6x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6x = -6 + 0
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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