3x+16=9x-12

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Solution for 3x+16=9x-12 equation:


Simplifying
3x + 16 = 9x + -12

Reorder the terms:
16 + 3x = 9x + -12

Reorder the terms:
16 + 3x = -12 + 9x

Solving
16 + 3x = -12 + 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.
16 + 3x + -9x = -12 + 9x + -9x

Combine like terms: 3x + -9x = -6x
16 + -6x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
16 + -6x = -12 + 0
16 + -6x = -12

Add '-16' to each side of the equation.
16 + -16 + -6x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -12 + -16
-6x = -12 + -16

Combine like terms: -12 + -16 = -28
-6x = -28

Divide each side by '-6'.
x = 4.666666667

Simplifying
x = 4.666666667

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