3x(6x-4)=10+2x(4+9x)

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Solution for 3x(6x-4)=10+2x(4+9x) equation: 


Simplifying
3x(6x + -4) = 10 + 2x(4 + 9x)

Reorder the terms:
3x(-4 + 6x) = 10 + 2x(4 + 9x)
(-4 * 3x + 6x * 3x) = 10 + 2x(4 + 9x)
(-12x + 18x2) = 10 + 2x(4 + 9x)
-12x + 18x2 = 10 + (4 * 2x + 9x * 2x)
-12x + 18x2 = 10 + (8x + 18x2)

Add '-18x2' to each side of the equation.
-12x + 18x2 + -18x2 = 10 + 8x + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-12x + 0 = 10 + 8x + 18x2 + -18x2
-12x = 10 + 8x + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-12x = 10 + 8x + 0
-12x = 10 + 8x

Solving
-12x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12x + -8x = 10 + 8x + -8x

Combine like terms: -12x + -8x = -20x
-20x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20x = 10 + 0
-20x = 10

Divide each side by '-20'.
x = -0.5

Simplifying
x = -0.5

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