3x-6=6(x-10)

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Solution for 3x-6=6(x-10) equation:


Simplifying
3x + -6 = 6(x + -10)

Reorder the terms:
-6 + 3x = 6(x + -10)

Reorder the terms:
-6 + 3x = 6(-10 + x)
-6 + 3x = (-10 * 6 + x * 6)
-6 + 3x = (-60 + 6x)

Solving
-6 + 3x = -60 + 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 = -60 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = -60 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = -60 + 0
-6 + -3x = -60

Add '6' to each side of the equation.
-6 + 6 + -3x = -60 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -60 + 6
-3x = -60 + 6

Combine like terms: -60 + 6 = -54
-3x = -54

Divide each side by '-3'.
x = 18

Simplifying
x = 18

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