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

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


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

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

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

Solving
-6 + 3x = -18 + 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.
-6 + 3x + -9x = -18 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-6 + -6x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -6x = -18 + 0
-6 + -6x = -18

Add '6' to each side of the equation.
-6 + 6 + -6x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = -18 + 6
-6x = -18 + 6

Combine like terms: -18 + 6 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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