3(f+1)=3(2f-3)

Solution for 3(f+1)=3(2f-3) equation:

Simplifying
3(f + 1) = 3(2f + -3)

Reorder the terms:
3(1 + f) = 3(2f + -3)
(1 * 3 + f * 3) = 3(2f + -3)
(3 + 3f) = 3(2f + -3)

Reorder the terms:
3 + 3f = 3(-3 + 2f)
3 + 3f = (-3 * 3 + 2f * 3)
3 + 3f = (-9 + 6f)

Solving
3 + 3f = -9 + 6f

Solving for variable 'f'.

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

Add '-6f' to each side of the equation.
3 + 3f + -6f = -9 + 6f + -6f

Combine like terms: 3f + -6f = -3f
3 + -3f = -9 + 6f + -6f

Combine like terms: 6f + -6f = 0
3 + -3f = -9 + 0
3 + -3f = -9

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

Combine like terms: 3 + -3 = 0
0 + -3f = -9 + -3
-3f = -9 + -3

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

Divide each side by '-3'.
f = 4

Simplifying
f = 4