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

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

Simplifying
3(5f + 2) + -1f = 2(f + -3)

Reorder the terms:
3(2 + 5f) + -1f = 2(f + -3)
(2 * 3 + 5f * 3) + -1f = 2(f + -3)
(6 + 15f) + -1f = 2(f + -3)

Combine like terms: 15f + -1f = 14f
6 + 14f = 2(f + -3)

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

Solving
6 + 14f = -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.
6 + 14f + -2f = -6 + 2f + -2f

Combine like terms: 14f + -2f = 12f
6 + 12f = -6 + 2f + -2f

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

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

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

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

Divide each side by '12'.
f = -1

Simplifying
f = -1