4x(x-5)-2x(3x+2)+108=3x(2x-5)-x(8x-3)

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Solution for 4x(x-5)-2x(3x+2)+108=3x(2x-5)-x(8x-3) equation: 


Simplifying
4x(x + -5) + -2x(3x + 2) + 108 = 3x(2x + -5) + -1x(8x + -3)

Reorder the terms:
4x(-5 + x) + -2x(3x + 2) + 108 = 3x(2x + -5) + -1x(8x + -3)
(-5 * 4x + x * 4x) + -2x(3x + 2) + 108 = 3x(2x + -5) + -1x(8x + -3)
(-20x + 4x2) + -2x(3x + 2) + 108 = 3x(2x + -5) + -1x(8x + -3)

Reorder the terms:
-20x + 4x2 + -2x(2 + 3x) + 108 = 3x(2x + -5) + -1x(8x + -3)
-20x + 4x2 + (2 * -2x + 3x * -2x) + 108 = 3x(2x + -5) + -1x(8x + -3)
-20x + 4x2 + (-4x + -6x2) + 108 = 3x(2x + -5) + -1x(8x + -3)

Reorder the terms:
108 + -20x + -4x + 4x2 + -6x2 = 3x(2x + -5) + -1x(8x + -3)

Combine like terms: -20x + -4x = -24x
108 + -24x + 4x2 + -6x2 = 3x(2x + -5) + -1x(8x + -3)

Combine like terms: 4x2 + -6x2 = -2x2
108 + -24x + -2x2 = 3x(2x + -5) + -1x(8x + -3)

Reorder the terms:
108 + -24x + -2x2 = 3x(-5 + 2x) + -1x(8x + -3)
108 + -24x + -2x2 = (-5 * 3x + 2x * 3x) + -1x(8x + -3)
108 + -24x + -2x2 = (-15x + 6x2) + -1x(8x + -3)

Reorder the terms:
108 + -24x + -2x2 = -15x + 6x2 + -1x(-3 + 8x)
108 + -24x + -2x2 = -15x + 6x2 + (-3 * -1x + 8x * -1x)
108 + -24x + -2x2 = -15x + 6x2 + (3x + -8x2)

Reorder the terms:
108 + -24x + -2x2 = -15x + 3x + 6x2 + -8x2

Combine like terms: -15x + 3x = -12x
108 + -24x + -2x2 = -12x + 6x2 + -8x2

Combine like terms: 6x2 + -8x2 = -2x2
108 + -24x + -2x2 = -12x + -2x2

Add '2x2' to each side of the equation.
108 + -24x + -2x2 + 2x2 = -12x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
108 + -24x + 0 = -12x + -2x2 + 2x2
108 + -24x = -12x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
108 + -24x = -12x + 0
108 + -24x = -12x

Solving
108 + -24x = -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
108 + -24x + 12x = -12x + 12x

Combine like terms: -24x + 12x = -12x
108 + -12x = -12x + 12x

Combine like terms: -12x + 12x = 0
108 + -12x = 0

Add '-108' to each side of the equation.
108 + -108 + -12x = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -12x = 0 + -108
-12x = 0 + -108

Combine like terms: 0 + -108 = -108
-12x = -108

Divide each side by '-12'.
x = 9

Simplifying
x = 9

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