x(x-4)+2=(x-3)(x+2)+5

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Solution for x(x-4)+2=(x-3)(x+2)+5 equation: 


Simplifying
x(x + -4) + 2 = (x + -3)(x + 2) + 5

Reorder the terms:
x(-4 + x) + 2 = (x + -3)(x + 2) + 5
(-4 * x + x * x) + 2 = (x + -3)(x + 2) + 5
(-4x + x2) + 2 = (x + -3)(x + 2) + 5

Reorder the terms:
2 + -4x + x2 = (x + -3)(x + 2) + 5

Reorder the terms:
2 + -4x + x2 = (-3 + x)(x + 2) + 5

Reorder the terms:
2 + -4x + x2 = (-3 + x)(2 + x) + 5

Multiply (-3 + x) * (2 + x)
2 + -4x + x2 = (-3(2 + x) + x(2 + x)) + 5
2 + -4x + x2 = ((2 * -3 + x * -3) + x(2 + x)) + 5
2 + -4x + x2 = ((-6 + -3x) + x(2 + x)) + 5
2 + -4x + x2 = (-6 + -3x + (2 * x + x * x)) + 5
2 + -4x + x2 = (-6 + -3x + (2x + x2)) + 5

Combine like terms: -3x + 2x = -1x
2 + -4x + x2 = (-6 + -1x + x2) + 5

Reorder the terms:
2 + -4x + x2 = -6 + 5 + -1x + x2

Combine like terms: -6 + 5 = -1
2 + -4x + x2 = -1 + -1x + x2

Add '-1x2' to each side of the equation.
2 + -4x + x2 + -1x2 = -1 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -4x + 0 = -1 + -1x + x2 + -1x2
2 + -4x = -1 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -4x = -1 + -1x + 0
2 + -4x = -1 + -1x

Solving
2 + -4x = -1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + -4x + x = -1 + -1x + x

Combine like terms: -4x + x = -3x
2 + -3x = -1 + -1x + x

Combine like terms: -1x + x = 0
2 + -3x = -1 + 0
2 + -3x = -1

Add '-2' to each side of the equation.
2 + -2 + -3x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -1 + -2
-3x = -1 + -2

Combine like terms: -1 + -2 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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