3x-6(x-3)=54

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


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

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

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

Combine like terms: 3x + -6x = -3x
18 + -3x = 54

Solving
18 + -3x = 54

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -3x = 54 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 54 + -18
-3x = 54 + -18

Combine like terms: 54 + -18 = 36
-3x = 36

Divide each side by '-3'.
x = -12

Simplifying
x = -12

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