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

Solution for 3(2f+1)=-(5-3f) equation:

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

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

Solving
3 + 6f = -5 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
3 + 6f + -3f = -5 + 3f + -3f

Combine like terms: 6f + -3f = 3f
3 + 3f = -5 + 3f + -3f

Combine like terms: 3f + -3f = 0
3 + 3f = -5 + 0
3 + 3f = -5

Add '-3' to each side of the equation.
3 + -3 + 3f = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 3f = -5 + -3
3f = -5 + -3

Combine like terms: -5 + -3 = -8
3f = -8

Divide each side by '3'.
f = -2.666666667

Simplifying
f = -2.666666667