3x(6x-2)+18=-10+2x(4+9x)

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Solution for 3x(6x-2)+18=-10+2x(4+9x) equation:


Simplifying
3x(6x + -2) + 18 = -10 + 2x(4 + 9x)

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

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

Add '-18x2' to each side of the equation.
18 + -6x + 18x2 + -18x2 = -10 + 8x + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
18 + -6x + 0 = -10 + 8x + 18x2 + -18x2
18 + -6x = -10 + 8x + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
18 + -6x = -10 + 8x + 0
18 + -6x = -10 + 8x

Solving
18 + -6x = -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.
18 + -6x + -8x = -10 + 8x + -8x

Combine like terms: -6x + -8x = -14x
18 + -14x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -14x = -10 + 0
18 + -14x = -10

Add '-18' to each side of the equation.
18 + -18 + -14x = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -14x = -10 + -18
-14x = -10 + -18

Combine like terms: -10 + -18 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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