6+2f=5f-10+1

Solution for 6+2f=5f-10+1 equation:

Simplifying
6 + 2f = 5f + -10 + 1

Reorder the terms:
6 + 2f = -10 + 1 + 5f

Combine like terms: -10 + 1 = -9
6 + 2f = -9 + 5f

Solving
6 + 2f = -9 + 5f

Solving for variable 'f'.

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

Add '-5f' to each side of the equation.
6 + 2f + -5f = -9 + 5f + -5f

Combine like terms: 2f + -5f = -3f
6 + -3f = -9 + 5f + -5f

Combine like terms: 5f + -5f = 0
6 + -3f = -9 + 0
6 + -3f = -9

Add '-6' to each side of the equation.
6 + -6 + -3f = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3f = -9 + -6
-3f = -9 + -6

Combine like terms: -9 + -6 = -15
-3f = -15

Divide each side by '-3'.
f = 5

Simplifying
f = 5