3x-54=9x+84

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Solution for 3x-54=9x+84 equation:


Simplifying
3x + -54 = 9x + 84

Reorder the terms:
-54 + 3x = 9x + 84

Reorder the terms:
-54 + 3x = 84 + 9x

Solving
-54 + 3x = 84 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-54 + 3x + -9x = 84 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-54 + -6x = 84 + 9x + -9x

Combine like terms: 9x + -9x = 0
-54 + -6x = 84 + 0
-54 + -6x = 84

Add '54' to each side of the equation.
-54 + 54 + -6x = 84 + 54

Combine like terms: -54 + 54 = 0
0 + -6x = 84 + 54
-6x = 84 + 54

Combine like terms: 84 + 54 = 138
-6x = 138

Divide each side by '-6'.
x = -23

Simplifying
x = -23

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