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

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


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

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

Combine like terms: -6x + x = -5x
-2 + 6x = 3 + -5x

Solving
-2 + 6x = 3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 6x + 5x = 3 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-2 + 11x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 11x = 3 + 0
-2 + 11x = 3

Add '2' to each side of the equation.
-2 + 2 + 11x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 11x = 3 + 2
11x = 3 + 2

Combine like terms: 3 + 2 = 5
11x = 5

Divide each side by '11'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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