5f-6+f=3(4f-6)

Solution for 5f-6+f=3(4f-6) equation:

Simplifying
5f + -6 + f = 3(4f + -6)

Reorder the terms:
-6 + 5f + f = 3(4f + -6)

Combine like terms: 5f + f = 6f
-6 + 6f = 3(4f + -6)

Reorder the terms:
-6 + 6f = 3(-6 + 4f)
-6 + 6f = (-6 * 3 + 4f * 3)
-6 + 6f = (-18 + 12f)

Solving
-6 + 6f = -18 + 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.
-6 + 6f + -12f = -18 + 12f + -12f

Combine like terms: 6f + -12f = -6f
-6 + -6f = -18 + 12f + -12f

Combine like terms: 12f + -12f = 0
-6 + -6f = -18 + 0
-6 + -6f = -18

Add '6' to each side of the equation.
-6 + 6 + -6f = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -6f = -18 + 6
-6f = -18 + 6

Combine like terms: -18 + 6 = -12
-6f = -12

Divide each side by '-6'.
f = 2

Simplifying
f = 2