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

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


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

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

Reorder the terms:
6 + -3x = 9(-6 + x)
6 + -3x = (-6 * 9 + x * 9)
6 + -3x = (-54 + 9x)

Solving
6 + -3x = -54 + 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 = -54 + 9x + -9x

Combine like terms: -3x + -9x = -12x
6 + -12x = -54 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -12x = -54 + 0
6 + -12x = -54

Add '-6' to each side of the equation.
6 + -6 + -12x = -54 + -6

Combine like terms: 6 + -6 = 0
0 + -12x = -54 + -6
-12x = -54 + -6

Combine like terms: -54 + -6 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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