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

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

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

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

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

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

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

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

Solving for variable 'g'.

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

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

Combine like terms: -1 + 1 = 0
0 + 2g = -3 + 1 + 3f
2g = -3 + 1 + 3f

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

Divide each side by '2'.
g = -1 + 1.5f

Simplifying
g = -1 + 1.5f