3x=2(x-3)

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


Simplifying
3x = 2(x + -3)

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

Solving
3x = -6 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -2x = 1x
1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
1x = -6 + 0
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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