(X+2)(2x-3)+x-4=6

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Solution for (X+2)(2x-3)+x-4=6 equation: 


Simplifying
(X + 2)(2x + -3) + x + -4 = 6

Reorder the terms:
(2 + X)(2x + -3) + x + -4 = 6

Reorder the terms:
(2 + X)(-3 + 2x) + x + -4 = 6

Multiply (2 + X) * (-3 + 2x)
(2(-3 + 2x) + X(-3 + 2x)) + x + -4 = 6
((-3 * 2 + 2x * 2) + X(-3 + 2x)) + x + -4 = 6
((-6 + 4x) + X(-3 + 2x)) + x + -4 = 6
(-6 + 4x + (-3 * X + 2x * X)) + x + -4 = 6
(-6 + 4x + (-3X + 2xX)) + x + -4 = 6

Reorder the terms:
(-6 + -3X + 4x + 2xX) + x + -4 = 6
(-6 + -3X + 4x + 2xX) + x + -4 = 6

Reorder the terms:
-6 + -4 + -3X + 4x + x + 2xX = 6

Combine like terms: -6 + -4 = -10
-10 + -3X + 4x + x + 2xX = 6

Combine like terms: 4x + x = 5x
-10 + -3X + 5x + 2xX = 6

Solving
-10 + -3X + 5x + 2xX = 6

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + -3X + 5x + 10 + 2xX = 6 + 10

Reorder the terms:
-10 + 10 + -3X + 5x + 2xX = 6 + 10

Combine like terms: -10 + 10 = 0
0 + -3X + 5x + 2xX = 6 + 10
-3X + 5x + 2xX = 6 + 10

Combine like terms: 6 + 10 = 16
-3X + 5x + 2xX = 16

Add '-5x' to each side of the equation.
-3X + 5x + -5x + 2xX = 16 + -5x

Combine like terms: 5x + -5x = 0
-3X + 0 + 2xX = 16 + -5x
-3X + 2xX = 16 + -5x

Reorder the terms:
-16 + -3X + 5x + 2xX = 16 + -5x + -16 + 5x

Reorder the terms:
-16 + -3X + 5x + 2xX = 16 + -16 + -5x + 5x

Combine like terms: 16 + -16 = 0
-16 + -3X + 5x + 2xX = 0 + -5x + 5x
-16 + -3X + 5x + 2xX = -5x + 5x

Combine like terms: -5x + 5x = 0
-16 + -3X + 5x + 2xX = 0

The solution to this equation could not be determined.

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