3x+9=12x+16

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


Simplifying
3x + 9 = 12x + 16

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

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

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

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

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

Add '-9' to each side of the equation.
9 + -9 + -9x = 16 + -9

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

Combine like terms: 16 + -9 = 7
-9x = 7

Divide each side by '-9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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