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

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


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

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

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

Solving
-3 + 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.
-3 + 6x + 6x = 2 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-3 + 12x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 12x = 2 + 0
-3 + 12x = 2

Add '3' to each side of the equation.
-3 + 3 + 12x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 12x = 2 + 3
12x = 2 + 3

Combine like terms: 2 + 3 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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