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

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


Simplifying
3x(5x + -4) + x = 5x(3 + -4) + [(3x + 2)(4 + 5x)]

Reorder the terms:
3x(-4 + 5x) + x = 5x(3 + -4) + [(3x + 2)(4 + 5x)]
(-4 * 3x + 5x * 3x) + x = 5x(3 + -4) + [(3x + 2)(4 + 5x)]
(-12x + 15x2) + x = 5x(3 + -4) + [(3x + 2)(4 + 5x)]

Reorder the terms:
-12x + x + 15x2 = 5x(3 + -4) + [(3x + 2)(4 + 5x)]

Combine like terms: -12x + x = -11x
-11x + 15x2 = 5x(3 + -4) + [(3x + 2)(4 + 5x)]

Combine like terms: 3 + -4 = -1
-11x + 15x2 = 5x(-1) + [(3x + 2)(4 + 5x)]

Reorder the terms for easier multiplication:
-11x + 15x2 = 5 * -1x + [(3x + 2)(4 + 5x)]

Multiply 5 * -1
-11x + 15x2 = -5x + [(3x + 2)(4 + 5x)]

Reorder the terms:
-11x + 15x2 = -5x + [(2 + 3x)(4 + 5x)]

Multiply (2 + 3x) * (4 + 5x)
-11x + 15x2 = -5x + [(2(4 + 5x) + 3x * (4 + 5x))]
-11x + 15x2 = -5x + [((4 * 2 + 5x * 2) + 3x * (4 + 5x))]
-11x + 15x2 = -5x + [((8 + 10x) + 3x * (4 + 5x))]
-11x + 15x2 = -5x + [(8 + 10x + (4 * 3x + 5x * 3x))]
-11x + 15x2 = -5x + [(8 + 10x + (12x + 15x2))]

Combine like terms: 10x + 12x = 22x
-11x + 15x2 = -5x + [(8 + 22x + 15x2)]
-11x + 15x2 = -5x + [8 + 22x + 15x2]

Remove brackets around [8 + 22x + 15x2]
-11x + 15x2 = -5x + 8 + 22x + 15x2

Reorder the terms:
-11x + 15x2 = 8 + -5x + 22x + 15x2

Combine like terms: -5x + 22x = 17x
-11x + 15x2 = 8 + 17x + 15x2

Add '-15x2' to each side of the equation.
-11x + 15x2 + -15x2 = 8 + 17x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-11x + 0 = 8 + 17x + 15x2 + -15x2
-11x = 8 + 17x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-11x = 8 + 17x + 0
-11x = 8 + 17x

Solving
-11x = 8 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-11x + -17x = 8 + 17x + -17x

Combine like terms: -11x + -17x = -28x
-28x = 8 + 17x + -17x

Combine like terms: 17x + -17x = 0
-28x = 8 + 0
-28x = 8

Divide each side by '-28'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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