3(x-6)=9(x-2)

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Solution for 3(x-6)=9(x-2) equation:


Simplifying
3(x + -6) = 9(x + -2)

Reorder the terms:
3(-6 + x) = 9(x + -2)
(-6 * 3 + x * 3) = 9(x + -2)
(-18 + 3x) = 9(x + -2)

Reorder the terms:
-18 + 3x = 9(-2 + x)
-18 + 3x = (-2 * 9 + x * 9)
-18 + 3x = (-18 + 9x)

Add '18' to each side of the equation.
-18 + 18 + 3x = -18 + 18 + 9x

Combine like terms: -18 + 18 = 0
0 + 3x = -18 + 18 + 9x
3x = -18 + 18 + 9x

Combine like terms: -18 + 18 = 0
3x = 0 + 9x
3x = 9x

Solving
3x = 9x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -9x = -6x
-6x = 9x + -9x

Combine like terms: 9x + -9x = 0
-6x = 0

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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