3+2x(3x-4)=4x(2x+5)-2x(x-1)

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Solution for 3+2x(3x-4)=4x(2x+5)-2x(x-1) equation: 


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

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

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

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

Reorder the terms:
3 + -8x + 6x2 = 20x + 2x + 8x2 + -2x2

Combine like terms: 20x + 2x = 22x
3 + -8x + 6x2 = 22x + 8x2 + -2x2

Combine like terms: 8x2 + -2x2 = 6x2
3 + -8x + 6x2 = 22x + 6x2

Add '-6x2' to each side of the equation.
3 + -8x + 6x2 + -6x2 = 22x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
3 + -8x + 0 = 22x + 6x2 + -6x2
3 + -8x = 22x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
3 + -8x = 22x + 0
3 + -8x = 22x

Solving
3 + -8x = 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
3 + -8x + -22x = 22x + -22x

Combine like terms: -8x + -22x = -30x
3 + -30x = 22x + -22x

Combine like terms: 22x + -22x = 0
3 + -30x = 0

Add '-3' to each side of the equation.
3 + -3 + -30x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -30x = 0 + -3
-30x = 0 + -3

Combine like terms: 0 + -3 = -3
-30x = -3

Divide each side by '-30'.
x = 0.1

Simplifying
x = 0.1

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