3(2x-3)=(1-3x)2

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


Simplifying
3(2x + -3) = (1 + -3x) * 2

Reorder the terms:
3(-3 + 2x) = (1 + -3x) * 2
(-3 * 3 + 2x * 3) = (1 + -3x) * 2
(-9 + 6x) = (1 + -3x) * 2

Reorder the terms for easier multiplication:
-9 + 6x = 2(1 + -3x)
-9 + 6x = (1 * 2 + -3x * 2)
-9 + 6x = (2 + -6x)

Solving
-9 + 6x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-9 + 6x + 6x = 2 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-9 + 12x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-9 + 12x = 2 + 0
-9 + 12x = 2

Add '9' to each side of the equation.
-9 + 9 + 12x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 12x = 2 + 9
12x = 2 + 9

Combine like terms: 2 + 9 = 11
12x = 11

Divide each side by '12'.
x = 0.9166666667

Simplifying
x = 0.9166666667

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