6(f+5)=2(f-3)

Solution for 6(f+5)=2(f-3) equation:

Simplifying
6(f + 5) = 2(f + -3)

Reorder the terms:
6(5 + f) = 2(f + -3)
(5 * 6 + f * 6) = 2(f + -3)
(30 + 6f) = 2(f + -3)

Reorder the terms:
30 + 6f = 2(-3 + f)
30 + 6f = (-3 * 2 + f * 2)
30 + 6f = (-6 + 2f)

Solving
30 + 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.
30 + 6f + -2f = -6 + 2f + -2f

Combine like terms: 6f + -2f = 4f
30 + 4f = -6 + 2f + -2f

Combine like terms: 2f + -2f = 0
30 + 4f = -6 + 0
30 + 4f = -6

Add '-30' to each side of the equation.
30 + -30 + 4f = -6 + -30

Combine like terms: 30 + -30 = 0
0 + 4f = -6 + -30
4f = -6 + -30

Combine like terms: -6 + -30 = -36
4f = -36

Divide each side by '4'.
f = -9

Simplifying
f = -9