(x+2)(x-5)=3(4x+2)+(x-1)(x-4)

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Solution for (x+2)(x-5)=3(4x+2)+(x-1)(x-4) equation: 


Simplifying
(x + 2)(x + -5) = 3(4x + 2) + (x + -1)(x + -4)

Reorder the terms:
(2 + x)(x + -5) = 3(4x + 2) + (x + -1)(x + -4)

Reorder the terms:
(2 + x)(-5 + x) = 3(4x + 2) + (x + -1)(x + -4)

Multiply (2 + x) * (-5 + x)
(2(-5 + x) + x(-5 + x)) = 3(4x + 2) + (x + -1)(x + -4)
((-5 * 2 + x * 2) + x(-5 + x)) = 3(4x + 2) + (x + -1)(x + -4)
((-10 + 2x) + x(-5 + x)) = 3(4x + 2) + (x + -1)(x + -4)
(-10 + 2x + (-5 * x + x * x)) = 3(4x + 2) + (x + -1)(x + -4)
(-10 + 2x + (-5x + x2)) = 3(4x + 2) + (x + -1)(x + -4)

Combine like terms: 2x + -5x = -3x
(-10 + -3x + x2) = 3(4x + 2) + (x + -1)(x + -4)

Reorder the terms:
-10 + -3x + x2 = 3(2 + 4x) + (x + -1)(x + -4)
-10 + -3x + x2 = (2 * 3 + 4x * 3) + (x + -1)(x + -4)
-10 + -3x + x2 = (6 + 12x) + (x + -1)(x + -4)

Reorder the terms:
-10 + -3x + x2 = 6 + 12x + (-1 + x)(x + -4)

Reorder the terms:
-10 + -3x + x2 = 6 + 12x + (-1 + x)(-4 + x)

Multiply (-1 + x) * (-4 + x)
-10 + -3x + x2 = 6 + 12x + (-1(-4 + x) + x(-4 + x))
-10 + -3x + x2 = 6 + 12x + ((-4 * -1 + x * -1) + x(-4 + x))
-10 + -3x + x2 = 6 + 12x + ((4 + -1x) + x(-4 + x))
-10 + -3x + x2 = 6 + 12x + (4 + -1x + (-4 * x + x * x))
-10 + -3x + x2 = 6 + 12x + (4 + -1x + (-4x + x2))

Combine like terms: -1x + -4x = -5x
-10 + -3x + x2 = 6 + 12x + (4 + -5x + x2)

Reorder the terms:
-10 + -3x + x2 = 6 + 4 + 12x + -5x + x2

Combine like terms: 6 + 4 = 10
-10 + -3x + x2 = 10 + 12x + -5x + x2

Combine like terms: 12x + -5x = 7x
-10 + -3x + x2 = 10 + 7x + x2

Add '-1x2' to each side of the equation.
-10 + -3x + x2 + -1x2 = 10 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -3x + 0 = 10 + 7x + x2 + -1x2
-10 + -3x = 10 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -3x = 10 + 7x + 0
-10 + -3x = 10 + 7x

Solving
-10 + -3x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + -3x + -7x = 10 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-10 + -10x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -10x = 10 + 0
-10 + -10x = 10

Add '10' to each side of the equation.
-10 + 10 + -10x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = 10 + 10
-10x = 10 + 10

Combine like terms: 10 + 10 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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