3x+18=12x-54

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Solution for 3x+18=12x-54 equation:


Simplifying
3x + 18 = 12x + -54

Reorder the terms:
18 + 3x = 12x + -54

Reorder the terms:
18 + 3x = -54 + 12x

Solving
18 + 3x = -54 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
18 + 3x + -12x = -54 + 12x + -12x

Combine like terms: 3x + -12x = -9x
18 + -9x = -54 + 12x + -12x

Combine like terms: 12x + -12x = 0
18 + -9x = -54 + 0
18 + -9x = -54

Add '-18' to each side of the equation.
18 + -18 + -9x = -54 + -18

Combine like terms: 18 + -18 = 0
0 + -9x = -54 + -18
-9x = -54 + -18

Combine like terms: -54 + -18 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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