3*f+9=12*f-11

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Solution for 3*f+9=12*f-11 equation: 


Simplifying
3f + 9 = 12f + -11

Reorder the terms:
9 + 3f = 12f + -11

Reorder the terms:
9 + 3f = -11 + 12f

Solving
9 + 3f = -11 + 12f

Solving for variable 'f'.

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

Add '-12f' to each side of the equation.
9 + 3f + -12f = -11 + 12f + -12f

Combine like terms: 3f + -12f = -9f
9 + -9f = -11 + 12f + -12f

Combine like terms: 12f + -12f = 0
9 + -9f = -11 + 0
9 + -9f = -11

Add '-9' to each side of the equation.
9 + -9 + -9f = -11 + -9

Combine like terms: 9 + -9 = 0
0 + -9f = -11 + -9
-9f = -11 + -9

Combine like terms: -11 + -9 = -20
-9f = -20

Divide each side by '-9'.
f = 2.222222222

Simplifying
f = 2.222222222

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