-2(-2f-3)=2(4f-7)

Solution for -2(-2f-3)=2(4f-7) equation:

Simplifying
-2(-2f + -3) = 2(4f + -7)

Reorder the terms:
-2(-3 + -2f) = 2(4f + -7)
(-3 * -2 + -2f * -2) = 2(4f + -7)
(6 + 4f) = 2(4f + -7)

Reorder the terms:
6 + 4f = 2(-7 + 4f)
6 + 4f = (-7 * 2 + 4f * 2)
6 + 4f = (-14 + 8f)

Solving
6 + 4f = -14 + 8f

Solving for variable 'f'.

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

Add '-8f' to each side of the equation.
6 + 4f + -8f = -14 + 8f + -8f

Combine like terms: 4f + -8f = -4f
6 + -4f = -14 + 8f + -8f

Combine like terms: 8f + -8f = 0
6 + -4f = -14 + 0
6 + -4f = -14

Add '-6' to each side of the equation.
6 + -6 + -4f = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -4f = -14 + -6
-4f = -14 + -6

Combine like terms: -14 + -6 = -20
-4f = -20

Divide each side by '-4'.
f = 5

Simplifying
f = 5