6(x-3)=54-6x

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Solution for 6(x-3)=54-6x equation:


Simplifying
6(x + -3) = 54 + -6x

Reorder the terms:
6(-3 + x) = 54 + -6x
(-3 * 6 + x * 6) = 54 + -6x
(-18 + 6x) = 54 + -6x

Solving
-18 + 6x = 54 + -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.
-18 + 6x + 6x = 54 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-18 + 12x = 54 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 12x = 54 + 0
-18 + 12x = 54

Add '18' to each side of the equation.
-18 + 18 + 12x = 54 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 54 + 18
12x = 54 + 18

Combine like terms: 54 + 18 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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