3(x-2)=2-3x

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


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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 2 + 6 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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