3x-6=12x+36

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Solution for 3x-6=12x+36 equation:


Simplifying
3x + -6 = 12x + 36

Reorder the terms:
-6 + 3x = 12x + 36

Reorder the terms:
-6 + 3x = 36 + 12x

Solving
-6 + 3x = 36 + 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.
-6 + 3x + -12x = 36 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-6 + -9x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -9x = 36 + 0
-6 + -9x = 36

Add '6' to each side of the equation.
-6 + 6 + -9x = 36 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = 36 + 6
-9x = 36 + 6

Combine like terms: 36 + 6 = 42
-9x = 42

Divide each side by '-9'.
x = -4.666666667

Simplifying
x = -4.666666667

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