x(3x-2)-18x^2=5x(2-3x)+6

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Solution for x(3x-2)-18x^2=5x(2-3x)+6 equation:


Simplifying
x(3x + -2) + -18x2 = 5x(2 + -3x) + 6

Reorder the terms:
x(-2 + 3x) + -18x2 = 5x(2 + -3x) + 6
(-2 * x + 3x * x) + -18x2 = 5x(2 + -3x) + 6
(-2x + 3x2) + -18x2 = 5x(2 + -3x) + 6

Combine like terms: 3x2 + -18x2 = -15x2
-2x + -15x2 = 5x(2 + -3x) + 6
-2x + -15x2 = (2 * 5x + -3x * 5x) + 6
-2x + -15x2 = (10x + -15x2) + 6

Reorder the terms:
-2x + -15x2 = 6 + 10x + -15x2

Add '15x2' to each side of the equation.
-2x + -15x2 + 15x2 = 6 + 10x + -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
-2x + 0 = 6 + 10x + -15x2 + 15x2
-2x = 6 + 10x + -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
-2x = 6 + 10x + 0
-2x = 6 + 10x

Solving
-2x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-2x + -10x = 6 + 10x + -10x

Combine like terms: -2x + -10x = -12x
-12x = 6 + 10x + -10x

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

Divide each side by '-12'.
x = -0.5

Simplifying
x = -0.5

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