6(x-4)=84-6x

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Solution for 6(x-4)=84-6x equation:


Simplifying
6(x + -4) = 84 + -6x

Reorder the terms:
6(-4 + x) = 84 + -6x
(-4 * 6 + x * 6) = 84 + -6x
(-24 + 6x) = 84 + -6x

Solving
-24 + 6x = 84 + -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.
-24 + 6x + 6x = 84 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-24 + 12x = 84 + -6x + 6x

Combine like terms: -6x + 6x = 0
-24 + 12x = 84 + 0
-24 + 12x = 84

Add '24' to each side of the equation.
-24 + 24 + 12x = 84 + 24

Combine like terms: -24 + 24 = 0
0 + 12x = 84 + 24
12x = 84 + 24

Combine like terms: 84 + 24 = 108
12x = 108

Divide each side by '12'.
x = 9

Simplifying
x = 9

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