3(3-x)=(x-3)

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


Simplifying
3(3 + -1x) = (x + -3)
(3 * 3 + -1x * 3) = (x + -3)
(9 + -3x) = (x + -3)

Reorder the terms:
9 + -3x = (-3 + x)

Remove parenthesis around (-3 + x)
9 + -3x = -3 + x

Solving
9 + -3x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + -3x + -1x = -3 + x + -1x

Combine like terms: -3x + -1x = -4x
9 + -4x = -3 + x + -1x

Combine like terms: x + -1x = 0
9 + -4x = -3 + 0
9 + -4x = -3

Add '-9' to each side of the equation.
9 + -9 + -4x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -3 + -9
-4x = -3 + -9

Combine like terms: -3 + -9 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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