3(x-9)=(x-3)

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Solution for 3(x-9)=(x-3) equation:


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

Reorder the terms:
3(-9 + x) = (x + -3)
(-9 * 3 + x * 3) = (x + -3)
(-27 + 3x) = (x + -3)

Reorder the terms:
-27 + 3x = (-3 + x)

Remove parenthesis around (-3 + x)
-27 + 3x = -3 + x

Solving
-27 + 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.
-27 + 3x + -1x = -3 + x + -1x

Combine like terms: 3x + -1x = 2x
-27 + 2x = -3 + x + -1x

Combine like terms: x + -1x = 0
-27 + 2x = -3 + 0
-27 + 2x = -3

Add '27' to each side of the equation.
-27 + 27 + 2x = -3 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = -3 + 27
2x = -3 + 27

Combine like terms: -3 + 27 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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