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

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


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

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

Reorder the terms:
3 + 6x = -2 + 3x

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

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

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

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

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

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

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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