6(F+6)=2(F-3)

Solution for 6(F+6)=2(F-3) equation:

Simplifying
6(F + 6) = 2(F + -3)

Reorder the terms:
6(6 + F) = 2(F + -3)
(6 * 6 + F * 6) = 2(F + -3)
(36 + 6F) = 2(F + -3)

Reorder the terms:
36 + 6F = 2(-3 + F)
36 + 6F = (-3 * 2 + F * 2)
36 + 6F = (-6 + 2F)

Solving
36 + 6F = -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.
36 + 6F + -2F = -6 + 2F + -2F

Combine like terms: 6F + -2F = 4F
36 + 4F = -6 + 2F + -2F

Combine like terms: 2F + -2F = 0
36 + 4F = -6 + 0
36 + 4F = -6

Add '-36' to each side of the equation.
36 + -36 + 4F = -6 + -36

Combine like terms: 36 + -36 = 0
0 + 4F = -6 + -36
4F = -6 + -36

Combine like terms: -6 + -36 = -42
4F = -42

Divide each side by '4'.
F = -10.5

Simplifying
F = -10.5