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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