4x(x-3)-9(x-5)=(4x-20)(x-3)

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Solution for 4x(x-3)-9(x-5)=(4x-20)(x-3) equation: 


Simplifying
4x(x + -3) + -9(x + -5) = (4x + -20)(x + -3)

Reorder the terms:
4x(-3 + x) + -9(x + -5) = (4x + -20)(x + -3)
(-3 * 4x + x * 4x) + -9(x + -5) = (4x + -20)(x + -3)
(-12x + 4x2) + -9(x + -5) = (4x + -20)(x + -3)

Reorder the terms:
-12x + 4x2 + -9(-5 + x) = (4x + -20)(x + -3)
-12x + 4x2 + (-5 * -9 + x * -9) = (4x + -20)(x + -3)
-12x + 4x2 + (45 + -9x) = (4x + -20)(x + -3)

Reorder the terms:
45 + -12x + -9x + 4x2 = (4x + -20)(x + -3)

Combine like terms: -12x + -9x = -21x
45 + -21x + 4x2 = (4x + -20)(x + -3)

Reorder the terms:
45 + -21x + 4x2 = (-20 + 4x)(x + -3)

Reorder the terms:
45 + -21x + 4x2 = (-20 + 4x)(-3 + x)

Multiply (-20 + 4x) * (-3 + x)
45 + -21x + 4x2 = (-20(-3 + x) + 4x * (-3 + x))
45 + -21x + 4x2 = ((-3 * -20 + x * -20) + 4x * (-3 + x))
45 + -21x + 4x2 = ((60 + -20x) + 4x * (-3 + x))
45 + -21x + 4x2 = (60 + -20x + (-3 * 4x + x * 4x))
45 + -21x + 4x2 = (60 + -20x + (-12x + 4x2))

Combine like terms: -20x + -12x = -32x
45 + -21x + 4x2 = (60 + -32x + 4x2)

Add '-4x2' to each side of the equation.
45 + -21x + 4x2 + -4x2 = 60 + -32x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
45 + -21x + 0 = 60 + -32x + 4x2 + -4x2
45 + -21x = 60 + -32x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
45 + -21x = 60 + -32x + 0
45 + -21x = 60 + -32x

Solving
45 + -21x = 60 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
45 + -21x + 32x = 60 + -32x + 32x

Combine like terms: -21x + 32x = 11x
45 + 11x = 60 + -32x + 32x

Combine like terms: -32x + 32x = 0
45 + 11x = 60 + 0
45 + 11x = 60

Add '-45' to each side of the equation.
45 + -45 + 11x = 60 + -45

Combine like terms: 45 + -45 = 0
0 + 11x = 60 + -45
11x = 60 + -45

Combine like terms: 60 + -45 = 15
11x = 15

Divide each side by '11'.
x = 1.363636364

Simplifying
x = 1.363636364

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