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

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


Simplifying
2(1 + -3x) = 3(2x + 1)
(1 * 2 + -3x * 2) = 3(2x + 1)
(2 + -6x) = 3(2x + 1)

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

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

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

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

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

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

Combine like terms: 3 + -2 = 1
-12x = 1

Divide each side by '-12'.
x = -0.08333333333

Simplifying
x = -0.08333333333

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