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

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


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

Reorder the terms:
2x(5 + 3x) = 3x(2x + -4)
(5 * 2x + 3x * 2x) = 3x(2x + -4)
(10x + 6x2) = 3x(2x + -4)

Reorder the terms:
10x + 6x2 = 3x(-4 + 2x)
10x + 6x2 = (-4 * 3x + 2x * 3x)
10x + 6x2 = (-12x + 6x2)

Add '-6x2' to each side of the equation.
10x + 6x2 + -6x2 = -12x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
10x + 0 = -12x + 6x2 + -6x2
10x = -12x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
10x = -12x + 0
10x = -12x

Solving
10x = -12x

Solving for variable 'x'.

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

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

Combine like terms: 10x + 12x = 22x
22x = -12x + 12x

Combine like terms: -12x + 12x = 0
22x = 0

Divide each side by '22'.
x = 0

Simplifying
x = 0

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