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

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


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

Reorder the terms:
2x(-2 + x) + -3(x + 1) = 2(x + 1)(x + -2)
(-2 * 2x + x * 2x) + -3(x + 1) = 2(x + 1)(x + -2)
(-4x + 2x2) + -3(x + 1) = 2(x + 1)(x + -2)

Reorder the terms:
-4x + 2x2 + -3(1 + x) = 2(x + 1)(x + -2)
-4x + 2x2 + (1 * -3 + x * -3) = 2(x + 1)(x + -2)
-4x + 2x2 + (-3 + -3x) = 2(x + 1)(x + -2)

Reorder the terms:
-3 + -4x + -3x + 2x2 = 2(x + 1)(x + -2)

Combine like terms: -4x + -3x = -7x
-3 + -7x + 2x2 = 2(x + 1)(x + -2)

Reorder the terms:
-3 + -7x + 2x2 = 2(1 + x)(x + -2)

Reorder the terms:
-3 + -7x + 2x2 = 2(1 + x)(-2 + x)

Multiply (1 + x) * (-2 + x)
-3 + -7x + 2x2 = 2(1(-2 + x) + x(-2 + x))
-3 + -7x + 2x2 = 2((-2 * 1 + x * 1) + x(-2 + x))
-3 + -7x + 2x2 = 2((-2 + 1x) + x(-2 + x))
-3 + -7x + 2x2 = 2(-2 + 1x + (-2 * x + x * x))
-3 + -7x + 2x2 = 2(-2 + 1x + (-2x + x2))

Combine like terms: 1x + -2x = -1x
-3 + -7x + 2x2 = 2(-2 + -1x + x2)
-3 + -7x + 2x2 = (-2 * 2 + -1x * 2 + x2 * 2)
-3 + -7x + 2x2 = (-4 + -2x + 2x2)

Add '-2x2' to each side of the equation.
-3 + -7x + 2x2 + -2x2 = -4 + -2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + -7x + 0 = -4 + -2x + 2x2 + -2x2
-3 + -7x = -4 + -2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + -7x = -4 + -2x + 0
-3 + -7x = -4 + -2x

Solving
-3 + -7x = -4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + -7x + 2x = -4 + -2x + 2x

Combine like terms: -7x + 2x = -5x
-3 + -5x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + -5x = -4 + 0
-3 + -5x = -4

Add '3' to each side of the equation.
-3 + 3 + -5x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -4 + 3
-5x = -4 + 3

Combine like terms: -4 + 3 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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