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

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


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

Reorder the terms:
4x(2 + 3x) + -3x(4x + -5) = 3x + -8
(2 * 4x + 3x * 4x) + -3x(4x + -5) = 3x + -8
(8x + 12x2) + -3x(4x + -5) = 3x + -8

Reorder the terms:
8x + 12x2 + -3x(-5 + 4x) = 3x + -8
8x + 12x2 + (-5 * -3x + 4x * -3x) = 3x + -8
8x + 12x2 + (15x + -12x2) = 3x + -8

Reorder the terms:
8x + 15x + 12x2 + -12x2 = 3x + -8

Combine like terms: 8x + 15x = 23x
23x + 12x2 + -12x2 = 3x + -8

Combine like terms: 12x2 + -12x2 = 0
23x + 0 = 3x + -8
23x = 3x + -8

Reorder the terms:
23x = -8 + 3x

Solving
23x = -8 + 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.
23x + -3x = -8 + 3x + -3x

Combine like terms: 23x + -3x = 20x
20x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
20x = -8 + 0
20x = -8

Divide each side by '20'.
x = -0.4

Simplifying
x = -0.4

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