2(x+3)(x-4)=(2x-1)(x+2)-27

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Solution for 2(x+3)(x-4)=(2x-1)(x+2)-27 equation: 


Simplifying
2(x + 3)(x + -4) = (2x + -1)(x + 2) + -27

Reorder the terms:
2(3 + x)(x + -4) = (2x + -1)(x + 2) + -27

Reorder the terms:
2(3 + x)(-4 + x) = (2x + -1)(x + 2) + -27

Multiply (3 + x) * (-4 + x)
2(3(-4 + x) + x(-4 + x)) = (2x + -1)(x + 2) + -27
2((-4 * 3 + x * 3) + x(-4 + x)) = (2x + -1)(x + 2) + -27
2((-12 + 3x) + x(-4 + x)) = (2x + -1)(x + 2) + -27
2(-12 + 3x + (-4 * x + x * x)) = (2x + -1)(x + 2) + -27
2(-12 + 3x + (-4x + x2)) = (2x + -1)(x + 2) + -27

Combine like terms: 3x + -4x = -1x
2(-12 + -1x + x2) = (2x + -1)(x + 2) + -27
(-12 * 2 + -1x * 2 + x2 * 2) = (2x + -1)(x + 2) + -27
(-24 + -2x + 2x2) = (2x + -1)(x + 2) + -27

Reorder the terms:
-24 + -2x + 2x2 = (-1 + 2x)(x + 2) + -27

Reorder the terms:
-24 + -2x + 2x2 = (-1 + 2x)(2 + x) + -27

Multiply (-1 + 2x) * (2 + x)
-24 + -2x + 2x2 = (-1(2 + x) + 2x * (2 + x)) + -27
-24 + -2x + 2x2 = ((2 * -1 + x * -1) + 2x * (2 + x)) + -27
-24 + -2x + 2x2 = ((-2 + -1x) + 2x * (2 + x)) + -27
-24 + -2x + 2x2 = (-2 + -1x + (2 * 2x + x * 2x)) + -27
-24 + -2x + 2x2 = (-2 + -1x + (4x + 2x2)) + -27

Combine like terms: -1x + 4x = 3x
-24 + -2x + 2x2 = (-2 + 3x + 2x2) + -27

Reorder the terms:
-24 + -2x + 2x2 = -2 + -27 + 3x + 2x2

Combine like terms: -2 + -27 = -29
-24 + -2x + 2x2 = -29 + 3x + 2x2

Add '-2x2' to each side of the equation.
-24 + -2x + 2x2 + -2x2 = -29 + 3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-24 + -2x + 0 = -29 + 3x + 2x2 + -2x2
-24 + -2x = -29 + 3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-24 + -2x = -29 + 3x + 0
-24 + -2x = -29 + 3x

Solving
-24 + -2x = -29 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-24 + -2x + -3x = -29 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-24 + -5x = -29 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + -5x = -29 + 0
-24 + -5x = -29

Add '24' to each side of the equation.
-24 + 24 + -5x = -29 + 24

Combine like terms: -24 + 24 = 0
0 + -5x = -29 + 24
-5x = -29 + 24

Combine like terms: -29 + 24 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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