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

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

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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2f = 3(f + -1)

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

Solving
-1 + 2f = -3 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
-1 + 2f + -3f = -3 + 3f + -3f

Combine like terms: 2f + -3f = -1f
-1 + -1f = -3 + 3f + -3f

Combine like terms: 3f + -3f = 0
-1 + -1f = -3 + 0
-1 + -1f = -3

Add '1' to each side of the equation.
-1 + 1 + -1f = -3 + 1

Combine like terms: -1 + 1 = 0
0 + -1f = -3 + 1
-1f = -3 + 1

Combine like terms: -3 + 1 = -2
-1f = -2

Divide each side by '-1'.
f = 2

Simplifying
f = 2