3(x-6)=6(x-3)

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


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

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

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

Add '18' to each side of the equation.
-18 + 18 + 3x = -18 + 18 + 6x

Combine like terms: -18 + 18 = 0
0 + 3x = -18 + 18 + 6x
3x = -18 + 18 + 6x

Combine like terms: -18 + 18 = 0
3x = 0 + 6x
3x = 6x

Solving
3x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3x + -6x = 6x + -6x

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

Combine like terms: 6x + -6x = 0
-3x = 0

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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