(x-2)=x(3)

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


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

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

Remove parenthesis around (-2 + x)
-2 + x = x(3)

Reorder the terms for easier multiplication:
-2 + x = 3x

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

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

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

Add '2' to each side of the equation.
-2 + 2 + -2x = 0 + 2

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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