2(f-3)=5(f+1)-4f

Solution for 2(f-3)=5(f+1)-4f equation:

Simplifying
2(f + -3) = 5(f + 1) + -4f

Reorder the terms:
2(-3 + f) = 5(f + 1) + -4f
(-3 * 2 + f * 2) = 5(f + 1) + -4f
(-6 + 2f) = 5(f + 1) + -4f

Reorder the terms:
-6 + 2f = 5(1 + f) + -4f
-6 + 2f = (1 * 5 + f * 5) + -4f
-6 + 2f = (5 + 5f) + -4f

Combine like terms: 5f + -4f = 1f
-6 + 2f = 5 + 1f

Solving
-6 + 2f = 5 + 1f

Solving for variable 'f'.

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

Add '-1f' to each side of the equation.
-6 + 2f + -1f = 5 + 1f + -1f

Combine like terms: 2f + -1f = 1f
-6 + 1f = 5 + 1f + -1f

Combine like terms: 1f + -1f = 0
-6 + 1f = 5 + 0
-6 + 1f = 5

Add '6' to each side of the equation.
-6 + 6 + 1f = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 1f = 5 + 6
1f = 5 + 6

Combine like terms: 5 + 6 = 11
1f = 11

Divide each side by '1'.
f = 11

Simplifying
f = 11