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

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


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

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

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

Combine like terms: 6x + -6x = 0
-2 + -3x = 4 + 0
-2 + -3x = 4

Add '2' to each side of the equation.
-2 + 2 + -3x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 4 + 2
-3x = 4 + 2

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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