3x-6=6(x-6)

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


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

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

Reorder the terms:
-6 + 3x = 6(-6 + x)
-6 + 3x = (-6 * 6 + x * 6)
-6 + 3x = (-36 + 6x)

Solving
-6 + 3x = -36 + 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.
-6 + 3x + -6x = -36 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = -36 + 0
-6 + -3x = -36

Add '6' to each side of the equation.
-6 + 6 + -3x = -36 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -36 + 6
-3x = -36 + 6

Combine like terms: -36 + 6 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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