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

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

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

Reorder the terms:
-2(3 + f) = 3(5 + -3f)
(3 * -2 + f * -2) = 3(5 + -3f)
(-6 + -2f) = 3(5 + -3f)
-6 + -2f = (5 * 3 + -3f * 3)
-6 + -2f = (15 + -9f)

Solving
-6 + -2f = 15 + -9f

Solving for variable 'f'.

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

Add '9f' to each side of the equation.
-6 + -2f + 9f = 15 + -9f + 9f

Combine like terms: -2f + 9f = 7f
-6 + 7f = 15 + -9f + 9f

Combine like terms: -9f + 9f = 0
-6 + 7f = 15 + 0
-6 + 7f = 15

Add '6' to each side of the equation.
-6 + 6 + 7f = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 7f = 15 + 6
7f = 15 + 6

Combine like terms: 15 + 6 = 21
7f = 21

Divide each side by '7'.
f = 3

Simplifying
f = 3