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

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


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

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

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

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

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

Multiply (-5 + 4x) * (2 + x)
-12x + 4x2 = (-5(2 + x) + 4x * (2 + x))
-12x + 4x2 = ((2 * -5 + x * -5) + 4x * (2 + x))
-12x + 4x2 = ((-10 + -5x) + 4x * (2 + x))
-12x + 4x2 = (-10 + -5x + (2 * 4x + x * 4x))
-12x + 4x2 = (-10 + -5x + (8x + 4x2))

Combine like terms: -5x + 8x = 3x
-12x + 4x2 = (-10 + 3x + 4x2)

Add '-4x2' to each side of the equation.
-12x + 4x2 + -4x2 = -10 + 3x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-12x + 0 = -10 + 3x + 4x2 + -4x2
-12x = -10 + 3x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-12x = -10 + 3x + 0
-12x = -10 + 3x

Solving
-12x = -10 + 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.
-12x + -3x = -10 + 3x + -3x

Combine like terms: -12x + -3x = -15x
-15x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15x = -10 + 0
-15x = -10

Divide each side by '-15'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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