2x=3(x-2)

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


Simplifying
2x = 3(x + -2)

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

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

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

Combine like terms: 3x + -3x = 0
-1x = -6 + 0
-1x = -6

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

Simplifying
x = 6

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