(3x-2)=4-6x

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Solution for (3x-2)=4-6x equation:


Simplifying
(3x + -2) = 4 + -6x

Reorder the terms:
(-2 + 3x) = 4 + -6x

Remove parenthesis around (-2 + 3x)
-2 + 3x = 4 + -6x

Solving
-2 + 3x = 4 + -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 + 3x + 6x = 4 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-2 + 9x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 9x = 4 + 0
-2 + 9x = 4

Add '2' to each side of the equation.
-2 + 2 + 9x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 9x = 4 + 2
9x = 4 + 2

Combine like terms: 4 + 2 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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