4x-3(2x+7)-x(5x+8)+(2x-3)(3x+2)=-15x-27

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Solution for 4x-3(2x+7)-x(5x+8)+(2x-3)(3x+2)=-15x-27 equation: 


Simplifying
4x + -3(2x + 7) + -1x(5x + 8) + (2x + -3)(3x + 2) = -15x + -27

Reorder the terms:
4x + -3(7 + 2x) + -1x(5x + 8) + (2x + -3)(3x + 2) = -15x + -27
4x + (7 * -3 + 2x * -3) + -1x(5x + 8) + (2x + -3)(3x + 2) = -15x + -27
4x + (-21 + -6x) + -1x(5x + 8) + (2x + -3)(3x + 2) = -15x + -27

Reorder the terms:
4x + -21 + -6x + -1x(8 + 5x) + (2x + -3)(3x + 2) = -15x + -27
4x + -21 + -6x + (8 * -1x + 5x * -1x) + (2x + -3)(3x + 2) = -15x + -27
4x + -21 + -6x + (-8x + -5x2) + (2x + -3)(3x + 2) = -15x + -27

Reorder the terms:
4x + -21 + -6x + -8x + -5x2 + (-3 + 2x)(3x + 2) = -15x + -27

Reorder the terms:
4x + -21 + -6x + -8x + -5x2 + (-3 + 2x)(2 + 3x) = -15x + -27

Multiply (-3 + 2x) * (2 + 3x)
4x + -21 + -6x + -8x + -5x2 + (-3(2 + 3x) + 2x * (2 + 3x)) = -15x + -27
4x + -21 + -6x + -8x + -5x2 + ((2 * -3 + 3x * -3) + 2x * (2 + 3x)) = -15x + -27
4x + -21 + -6x + -8x + -5x2 + ((-6 + -9x) + 2x * (2 + 3x)) = -15x + -27
4x + -21 + -6x + -8x + -5x2 + (-6 + -9x + (2 * 2x + 3x * 2x)) = -15x + -27
4x + -21 + -6x + -8x + -5x2 + (-6 + -9x + (4x + 6x2)) = -15x + -27

Combine like terms: -9x + 4x = -5x
4x + -21 + -6x + -8x + -5x2 + (-6 + -5x + 6x2) = -15x + -27

Reorder the terms:
-21 + -6 + 4x + -6x + -8x + -5x + -5x2 + 6x2 = -15x + -27

Combine like terms: -21 + -6 = -27
-27 + 4x + -6x + -8x + -5x + -5x2 + 6x2 = -15x + -27

Combine like terms: 4x + -6x = -2x
-27 + -2x + -8x + -5x + -5x2 + 6x2 = -15x + -27

Combine like terms: -2x + -8x = -10x
-27 + -10x + -5x + -5x2 + 6x2 = -15x + -27

Combine like terms: -10x + -5x = -15x
-27 + -15x + -5x2 + 6x2 = -15x + -27

Combine like terms: -5x2 + 6x2 = 1x2
-27 + -15x + 1x2 = -15x + -27

Reorder the terms:
-27 + -15x + 1x2 = -27 + -15x

Add '27' to each side of the equation.
-27 + -15x + 27 + 1x2 = -27 + 27 + -15x

Reorder the terms:
-27 + 27 + -15x + 1x2 = -27 + 27 + -15x

Combine like terms: -27 + 27 = 0
0 + -15x + 1x2 = -27 + 27 + -15x
-15x + 1x2 = -27 + 27 + -15x

Combine like terms: -27 + 27 = 0
-15x + 1x2 = 0 + -15x
-15x + 1x2 = -15x

Add '15x' to each side of the equation.
-15x + 15x + 1x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
0 + 1x2 = -15x + 15x
1x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
1x2 = 0

Solving
1x2 = 0

Solving for variable 'x'.

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

Divide each side by '1'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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