6(2F-1)=-5(3F-15)

Solution for 6(2F-1)=-5(3F-15) equation:

Simplifying
6(2F + -1) = -5(3F + -15)

Reorder the terms:
6(-1 + 2F) = -5(3F + -15)
(-1 * 6 + 2F * 6) = -5(3F + -15)
(-6 + 12F) = -5(3F + -15)

Reorder the terms:
-6 + 12F = -5(-15 + 3F)
-6 + 12F = (-15 * -5 + 3F * -5)
-6 + 12F = (75 + -15F)

Solving
-6 + 12F = 75 + -15F

Solving for variable 'F'.

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

Add '15F' to each side of the equation.
-6 + 12F + 15F = 75 + -15F + 15F

Combine like terms: 12F + 15F = 27F
-6 + 27F = 75 + -15F + 15F

Combine like terms: -15F + 15F = 0
-6 + 27F = 75 + 0
-6 + 27F = 75

Add '6' to each side of the equation.
-6 + 6 + 27F = 75 + 6

Combine like terms: -6 + 6 = 0
0 + 27F = 75 + 6
27F = 75 + 6

Combine like terms: 75 + 6 = 81
27F = 81

Divide each side by '27'.
F = 3

Simplifying
F = 3