3(f-4)=2(f-3)

Solution for 3(f-4)=2(f-3) equation:

Simplifying
3(f + -4) = 2(f + -3)

Reorder the terms:
3(-4 + f) = 2(f + -3)
(-4 * 3 + f * 3) = 2(f + -3)
(-12 + 3f) = 2(f + -3)

Reorder the terms:
-12 + 3f = 2(-3 + f)
-12 + 3f = (-3 * 2 + f * 2)
-12 + 3f = (-6 + 2f)

Solving
-12 + 3f = -6 + 2f

Solving for variable 'f'.

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

Add '-2f' to each side of the equation.
-12 + 3f + -2f = -6 + 2f + -2f

Combine like terms: 3f + -2f = 1f
-12 + 1f = -6 + 2f + -2f

Combine like terms: 2f + -2f = 0
-12 + 1f = -6 + 0
-12 + 1f = -6

Add '12' to each side of the equation.
-12 + 12 + 1f = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 1f = -6 + 12
1f = -6 + 12

Combine like terms: -6 + 12 = 6
1f = 6

Divide each side by '1'.
f = 6

Simplifying
f = 6