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

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


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

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

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

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

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

Reorder the terms:
-12 + -2x + 2x2 = 2x(-2 + x) + -2x
-12 + -2x + 2x2 = (-2 * 2x + x * 2x) + -2x
-12 + -2x + 2x2 = (-4x + 2x2) + -2x

Reorder the terms:
-12 + -2x + 2x2 = -4x + -2x + 2x2

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

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

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

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

Solving
-12 + -2x = -6x

Solving for variable 'x'.

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

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

Combine like terms: -2x + 6x = 4x
-12 + 4x = -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 4x = 0

Add '12' to each side of the equation.
-12 + 12 + 4x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 0 + 12
4x = 0 + 12

Combine like terms: 0 + 12 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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