3(f-2)=7(f+2)

Solution for 3(f-2)=7(f+2) equation:

Simplifying
3(f + -2) = 7(f + 2)

Reorder the terms:
3(-2 + f) = 7(f + 2)
(-2 * 3 + f * 3) = 7(f + 2)
(-6 + 3f) = 7(f + 2)

Reorder the terms:
-6 + 3f = 7(2 + f)
-6 + 3f = (2 * 7 + f * 7)
-6 + 3f = (14 + 7f)

Solving
-6 + 3f = 14 + 7f

Solving for variable 'f'.

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

Add '-7f' to each side of the equation.
-6 + 3f + -7f = 14 + 7f + -7f

Combine like terms: 3f + -7f = -4f
-6 + -4f = 14 + 7f + -7f

Combine like terms: 7f + -7f = 0
-6 + -4f = 14 + 0
-6 + -4f = 14

Add '6' to each side of the equation.
-6 + 6 + -4f = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -4f = 14 + 6
-4f = 14 + 6

Combine like terms: 14 + 6 = 20
-4f = 20

Divide each side by '-4'.
f = -5

Simplifying
f = -5